Abstract
I am particularly happy to have the opportunity of these proceedings to write a profile of one of my distinguished teachers, with whom I have also had the good fortune to collaborate for so many years, Professor James Serrin. Before entering into my recollection of these years of close association, I would first desire to mention the tribute that Professor Clifford Truesdell wrote in the volume of papers, Analysis and Continuum Mechanics, dedicated to James Serrin on the occasion of his sixtieth birthday, published by Springer-Verlag, in gratitude for his many years of work as coeditor of the Archive for Rational Mechanics and Analysis.
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James Serrin’s publications
Free boundaries and jets in the theory of cavitation (with D. Gilbarg). J. Math. and Phys., 29 (1950), 1–12.
Uniqueness theorems for two free boundary problems. Amer. J. Math., 74 (1952), 492–506.
Existence theorems for some hydrodynamical free boundary problems. J. Rational Mech. Anal., 1 (1952), 1–48.
Two hydrodynamical comparison theorems. J. Rational Mech. Anal., 1 (1952), 563572.
Notes on hydrodynamics. Photoprinted by Princeton University, 1952, 218 pages.
On plane and axially symmetric free boundary problems. J. Rational Mech. Anal., 2 (1953), 563–575.
A note on the wave equation. Proc. Amen Math. Soc., 5 (1954), 307–308.
Comparison theorem for subsonic flows. J. Math. and Physics, 23 (1954), 27–45.
On the Phragmen-Lindelőf theorem for elliptic partial differential equations. J. Rational Mech. Anal., 3 (1954), 395–413.
A uniqueness theorem for the parabolic equation u t = a(x)u xx + b(x)u x + c(x)u, Bull. Amer. Math. Soc.,60 (1954), 344.
Uniqueness of axially symmetric subsonic flow past a finite body (with D. Gilbarg). J. Rational Mech. Anal., 4 (1955), 169–175.
A characterization of regular boundary points for second-order linear differential equations. Bull. Amer. Math. Soc., 61 (1955), 224.
On the Harnack inequality for linear elliptic equations. J. Analyse Math., 4 (1956), 292–308.
On isolated singularities of solutions of second-order linear elliptic equations (with D. Gilbarg). J. Analyse Math., 4 (1956), 309–340.
A note on harmonic functions defined in a half-plane. Duke Math. J., 24 (1956), 523–526.
On the Wilder continuity of quasi-conformal and elliptic mappings (with R. Finn). Trans. Amer. Math. Soc., 89 (1958), 1–15.
Mathematical Principles of Classical Fluid Mechanics (Monograph). Handbuch der Physik, VIII/1 (1959), pp. 125–263. Russian translation: Foreign Literature Publishing House, Moscow, 1963, 265 pages.
On the stability of viscous fluid motion. Arch. Rational Mech. Anal., 3 (1959), 1–13.
A note on the existence of periodic solutions of the Navier—Stokes equations. Arch. Rational Mech. Anal., 3 (1959), 120–122.
On the uniqueness of compressible fluid motions. Arch. Rational Mech. Anal., 3 (1959), 271–288.
On the derivation of stress-deformation relations for a Stokesian fluid. J. Math. Mech., 8 (1959), 459–470.
Poiseuille and Couette flow of non-Newtonian fluids. Z. Angli. Math. Mech., 39 (1959), 295–299.
On a fundamental theorem of the calculus of variations. Acta Math., 102 (1959), 1–22.
A new definition of the integral for non-parametric problems in the calculus of variations. Acta Math., 102 (1959), 23–32.
The exterior Dirichlet problem for second-order elliptic equations (with N. Meyers). J. Math. Mech., 9 (1960), 513–538.
On the area of curved surfaces. Amer. Math. Monthly, 68 (1961), 435–140.
On the differentiability of functions of several variables. Arch. Rational Mech. Anal., 7 (1961), 359–372.
On the definition and properties of certain variational integrals. Trans. Amer. Math. Soc., 101 (1961), 139–167.
On the entropy change through a shock layer (with Y.C. Whang). J. Aerospace Sci., 28 (1961), 990–991.
Dirichlet’s Principle in the Calculus of Variations. Proc. Symposia in Pure Math., vol. 4. American Mathematical Society, Providence, RI, 1961, pp. 17–22.
Interior estimates for solutions of the Navier—Stokes equations. In Partial Differential Equations and Continuum Mechanics, (R. Langer, ed. ). University of Wisconsin Press, 1961, pp. 376–378.
On the interior regularity of weak solutions of the Navier—Stokes equations. Arch. Rational Mech. Anal., 9 (1962), 187–195.
Strong convergence in a product space. Proc. Amer. Math. Soc., 13 (1962), 651–655.
The initial value problem for the Navier—Stokes equations. In Nonlinear Problems (R.E. Langer, ed. ). University of Wisconsin Press, 1963, pp. 69–98.
Variational problems of minimal surface type, I (with H. Jenkins). Arch. Rational Mech. Anal., 12 (1963), 185–212. See also entries [50], [59].
A Harnack inequality for non-linear equations. Bull. Amer. Math. Soc., 69 (1963), 481–486.
Comparison and averaging methods in mathematical physics. In Proprietà di Media e Teoremi di Confronte in Fisica Matematica. Centro Internazionale Matematico Estivo, Rome, Edizioni Cremonese, 1965, pp. 1–87.
A priori estimates for solutions of the minimal surface equation. Arch. Rational Mech. Anal., 14 (1963), 376–383. See also entry [57].
Mathematical Aspects of Boundary Layer Theory. Notes taken by H.K. Wilson, Department of Mathematics, University of Minnesota, 1963 (131 pages, multiplied typescript).
Sublinear functions of measures and variational integrals (with C. Goffman). Duke Math. J., 31 (1964), 159–178.
Local behavior of solutions of quasi-linear equations. Acta Math., 111 (1964), 247–302.
H = W (with Norman Meyers). Proc. Nat. Acad. Sci., 51 (1964), 1055–1056.
Removable singularities of solutions of elliptic equations. Arch. Rational Mech. Anal., 17 (1964), 67–78. See also entry [48].
Pathological solutions of elliptic differential equations. Ann. Scuola Norm. Sup. Pisa, Sci. Fis. Math., 18 (1964), 385–387.
Singularities of Solutions of Nonlinear Equations. Proc. Symposia in Pure Math., vol. 17, pp. 68–88. American Mathematical Society, Providence, RI, 1965.
Isolated singularities of solutions of quasi-linear equations. Acta Math., 113 (1965), 219–240.
Theory of differentiation. Notes taken by T. Hatcher, Department of Mathematics, University of Minnesota, 1965 (135 pages, multiplied typescript).
Removable singularities of solutions of elliptic differential equations, II. Arch. Rational Mech. Anal., 20 (1965), 163–169.
The Dirichlet problem for the minimal surface equation with infinite data (with H. Jenkins). Bull. Amer. Math. Soc.,72 (1966), 102–106. See also entry [59].
Variational problems of minimal surface type, II: Boundary value problems for the minimal surface equation (with H. Jenkins). Arch. Rational Mech. Anal., 21 (1966), 321–342.
Isolated singularities of solutions of linear elliptic equations (with H. Weinberger). Amer. J. Math., 88 (1966), 258–272.
Local behavior of solutions of quasi-linear parabolic equations (with D.G. Aronson). Arch. Rational Mech. Anal., 25 (1967), 81–122.
A maximum principle for nonlinear parabolic equations (with D.G. Aronson), Ann. Scuola Norm. Sup. Pisa, Sci. Fis. Mat., 21 (1967), 291–305.
The Dirichlet problem for quasi-linear elliptic equations with many independent variables. Proc. Nat. Acad. Science, 58 (1967), 1829–1835. See also entry [64].
On the asymptotic behavior of velocity profiles in the Prandtl boundary layer theory, Proc. Roy. Soc. London Set: A, 299 (1967), 491–507.
The Dirichlet problem for the minimal surface equation in higher dimensions (with H. Jenkins) J. Reine Angli. Math., 223 (1968), 170–187.
Addendum to: A piori estimates for solutions of the minimal surface equation. Arch. Rational Mech. Anal., 28 (1968), 149–154.
On the mathematical basis of Prandtl’s boundary layer theory: An example. Arch. Rational Mech. Anal., 28 (1968), 217–225.
Variational problems of minimal surface type, III: The Dirichlet problem with infinite data (with H. Jenkins). Arch. Rational Mech. Anal., 29 (1968), 304–322.
The behavior of similar solutions in a compressible boundary layer (with J.B. McLeod). J. Fluid Mech., 34 (1968), 337–342.
A new proof in differentiation theory. Notices Amen Math. Soc., 15 (1968), 1036. Abstract; see also W. Rudin, Real and Complex Analysis, 2nd edn. McGraw-Hill, New York, 1974, pp. xii, 435, and 162–167.
A general chain rule for derivatives and the change of variable formula for the Lebesgue integral (with D.E. Varberg). Amer. Math. Monthly, 76 (1969), 514–520.
The existence of similar solutions for some laminar boundary layer problems (with J.B. McLeod). Arch. Rational Mech. Anal., 31 (1969), 288–303.
The problem of Dirichlet for quasi-linear elliptic differential equations with many independent variables. Philos. Trans. Roy. Soc. London Ser., A, 264 (1969), 413–496.
On surfaces of constant mean curvature which span a given space curve. Math. Z., 88 (1969), 77–88.
Existence theorems for some compressible boundary layer problems. In Qualitative Theory of Nonlinear Differential and Integral Equations. SIAM Stud. Appl. Math., vol. 5 1970, pp. 35–42.
The Dirichlet problem for surfaces of constant mean curvature. Proc. London Math. Soc., 21 (1970), pp. 361–384.
On the strong maximum principle for nonlinear second-order differential inequalities. J. Funct. Anal., 5 (1970), 184–193.
Boundary curvatures and the solvability of Dirichlet’s Problem. Proc. International Congress of Mathematicians (Nice, 1970), vol. 2, Paris, 1970, 867–875.
Curvature inequalities for surfaces over a disk (with H.F. Weinberger). In Some problems of Mathematics and Mechanics—M.A. Lavrentieff Anniversary Volume. Nauka Leningrad, 1970, pp. 242–250. English version: Amer. Math. Soc. Translation, vol. 104, 1976, 223–231.
Recent developments in the mathematical aspects of boundary layer theory. Internat. J. Engng. Sci., 9 (1971), 233–240.
Uniqueness and comparison theorems for nonlinear elliptic equations in divergence form (with J. Douglas, Jr. and T. Dupont). Arch. Rational Mech. Anal., 42 (1971), 157–168.
A symmetry problem in potential theory. Arch. Rational Mech. Anal., 43 (1971), 304–318.
Gradient estimates for solutions of nonlinear elliptic and parabolic equations. In Contributions to Nonlinear Functional Analysis (E. Zarantonello, ed. ). University of Wisconsin Press, 1971, 565–601.
Nonlinear elliptic equations of second order. Lectures at Symposium on Partial Differential Equations, Berkeley, 1971. Mimeographed notes (57 pages, multiplied typescript).
The swirling vortex. Philos. Trans. Roy. Soc. London Ser. A, 271 (1972), 325–360.
Entire solutions of nonlinear Poisson equations. Proc. London Math. Soc., 24 (1972), 348–366.
A note on the preceding paper of Amann. Arch. Rational Mech. Anal., 44 (1972), 182–186.
Rectilinear steady flow of simple fluids (with R.L. Fosdick). Proc. Royal Soc. London, 332 (1973), 311–333.
Global properties of continuum thermodynamic processes (with R.L. Fosdick). Arch. Rational Mech. Anal., 59 (1975), 97–109.
On the axioms of classical mechanics. Department of Mathematics, University of Minnesota, 1974 (74 pages, multiplied typescript).
Liouville theorems for nonlinear Poisson equations. In Convegno Internazionale sui Metodi Valutativi nella Fisica—Matematica, Accad. Naz. Lincei, Problemi Attuali di Scienza e di Cultura, vol. 217, 1975, pp. 207–215.
Doomsday: On target? Science Magazine, 189, July 11, 1975, pp. 86–87.
The solvability of boundary value problems: Hilbert’s twentieth problem. In Mathematical Developments Arising from Hilbert Problems, Proc. Sympos. Pure Math., vol. 28, American Mathematical Society, Providence, RI, 1976, pp. 507–524.
Liouville theorems and gradient bounds for quasi-linear elliptic systems. Arch. Rational Mech. Anal., 66 (1977), 295–310.
Optimal shapes for brittle beams under torsion (with H.F. Weinberger). In Complex Analysis and its Applications—Jubilee Volume for I.Y. Vekua, Nauka, Moscow, 1978, pp. 88–91.
Gradient estimates and Liouville theorems for quasi-linear elliptic equations (with L.A. Peletier). Ann. Scuola Norm. Sup. Pisa, 5, Ser. IV (1978), 65–104.
The concepts of thermodynamics. In Continuum Mechanics and Partial Differential Equations (G.M. de la Penha et al., eds.). North-Holland, Amsterdam, 1978, pp. 411–451.
On the impossibility of linear Cauchy and Piola–Kirchhoff constitutive theories for stress in solids (with R.L. Fosdick). J. Elasticity, 9 (1979), 83–89.
Conceptual analysis of the classical second laws of thermodynamics. Arch. Rational Mech. Anal., 70 (1979), 254–272.
Foundations of thermodynamics. Lecture Notes, University of Naples, 1979 (150 pages, multiplied typescript).
Phase transitions and interfacial layers for van der Waals fluids. In Recent Methods in Nonlinear Analysis and Applications (Proc. Fourth International Meeting of SAFA), (A. Canfora et al., eds.). Liguori Editore, Naples, 1981, pp. 169–175.
The second law of thermodynamics for systems with approximate cycles (with B.D. Coleman and D.R. Owen). Arch. Rational Mech. Anal., 77 (1981), 103–142.
Uniqueness of solutions of semilinear Poisson equations (with K. McLeod). Proc. Nat. Acad. Sci. USA, 78 (1981), 6592–6598. See also entry [114].
Uniqueness of positive solutions of semilinear equations in ℝn (with L.A. Peletier), Archive Rational Mech. Anal., 81 (1983), 181–197. See also entry [110].
The form of interfacial surfaces in Korteweg’s theory of phase equilibria. Quart. Appl. Math., 41 (1983), 357–364.
The mechanical theory of fluid interfaces and Maxwell’s rule (with E. Aifantis). J. Coll. Interface Sci., 96 (1983), 519–547.
The structure and laws of thermodynamics. Proc. International Congress of Mathematicians (Warsaw 1983), 1717–1728.
Applied mathematics and scientific thought. In Nonlinear Analysis and Optimization. Lecture Notes in Mathematics, vol. 1107, Springer-Verlag, New York, 1984, pp. 1927.
One-dimensional shock layers in Korteweg fluids (with R. Hagan). In Phase Transformations and Material Instabilities in Solids. Academic Press, New York, 1984, 113–128.
Extensions of the mountain pass theorem (with P. Pucci). J. Funct. Anal., 59 (1984), 185–210.
A mountain pass theorem (with P. Pucci). J. Differential Equations, 60 (1985), 142–149.
Esistenza ed unicità degli stati fondamentali per equazioni ellittiche quasilineari (with B. Franchi and E. Lanconelli). Rend. Accad. Naz. Lincei, Serie 8,79 (1985),121–126. See also entries [119], [150].
A continuum model for chemical mixture dynamics. In Developments in Mechanics (Proc. Midwestern Mechanics Conference), vol. 13, 1985, pp. 59–64.
Non-existence theorems for quasi-linear partial differential equations (with W.-M. Ni). Suppl. Rend. Circolo Mat. Palermo, 8 (1985), 171–185.
On the thermomechanics of interstitial working (with J.E. Dunn). Arch. Rational Mech. Anal., 88 (1985), 95–133.
An outline of thermodynamical structure. In New Perspectives in Thermodynamics, (J. Serrin, ed.). Springer-Verlag, New York, 1986, 3–32.
Existence and non—existence theorems for ground states of quasi-linear partial differential equations. The anomalous case (with W.-M. Ni). Accad. Naz. Lincei, Atti dei Convegni, 77 (1986), 231–257.
Dynamic changes of phase in a van der Waals fluids (with R. Hagan). In New Perspectives in Thermodynamics. ( J. Serrin, ed.). Springer-Verlag, New York, 1986, pp. 241–260.
Uniqueness of non-negative solutions of semilinear equations in ℝn (with L.A. Peletier). J. Differential Equations, 61 (1986), 380–397.
Non-existence of singular solutions of quasi-linear partial differential equations (with W.-M. Ni). Comm. Pure Appl. Math., 39 (1986), 379–399.
A general variational identity (with R. Pucci). Indiana Univ. Math. J., 35 (1986), 681–703.
The laws of thermodynamics. Rev. Mechanica, 21 (1987), 361–379.
Uniqueness of positive radial solutions of Δu + f (u)= 0 in ℝn (with K. McLeod). Arch. Rational Mech. Anal.,99 (1987), 115–145.
The structure of the critical set in the mountain pass theory (with P. Pucci). Trans. Amer. Math. Soc., 229 (1987), 115–132.
Ground states for a prescribed mean curvature equation (with L.A. Peletier). Proc. Amer. Math. Soc., 100 (1987), 694–700.
Positive solutions of a prescribed mean curvature equation. In Calculus of Variations and Partial Differential Equations (S. Hildebrandt et. al., eds.). Lecture Notes in Mathematics, vol. 1340. Springer-Verlag, New York, 1988, pp. 248–255.
Ground states for the prescribed mean curvature equation: The supercritical case (with F.V. Atkinson and L.A. Peletier). In Nonlinear Diffusion Equations and Their Equilibrium States (I) (W.-M. Ni et al., eds.). MSRI Publ., vol. 12. Springer-Verlag, New York, 1988, pp. 51–74.
Existence and uniqueness of ground states of quasilinear elliptic equations (with B. Franchi and E. Lanconelli). In Nonlinear Diffusion Equations and Their Equilibrium States (I),MSRI Publ., vol. 12. Springer-Verlag, New York, 1988, pp. 293–300. See also entry [150].
Remarks on the first eigenspace for polyharmonic operators (with P. Pucci). Atti Sem. Mat. Fis. Univ. Modena, 36 (1988), 107–118.
Asymptotic properties for solutions of strongly nonlinear ordinary differential equations (with P. Pucci). In Conference on Differential Equations and Geometry. Rend. Sem. Mat. Univ. Politec. Torino, Fascicolo Speciale, 1989, pp. 121–129.
Critical exponents and critical dimensions for the polyharmonic operator (with P. Pucci). J. Math. Pures Appl., 69 (1990), 55–83.
Continuation and limit properties for solutions of strongly nonlinear second order differential equations (with P. Pucci). Asymptotic Anal., 4 (1991), 97–160.
Bounds for vertical points of solutions of prescribed mean curvature type equations, II (with F.V. Atkinson and L.A. Peletier). Asymptotic Anal., 5 (1992), 283–310.
The nature of thermodynamics. Atti Sem. Mat. Fis. Univ. Modena, 39 (1991), 445–472. Italian translation: Sulla natura della termodinamica. Atti e MemorieAccad. Naz. Scienze Lettre e Arti di Modena, Ser. VII, vol. 7 1992, pp. 185–202.
Global asymptotic stability for strongly nonlinear second order systems (with P. Pucci). In Nonlinear Diffusion Equations and Their Equilibrium States (III). (N.G. Lloyd et al., eds.). Birkhãuser, Boston, 1992, pp. 437–449
Existence and non-existence for ground states of quasilinear elliptic equations (with H. Zou), Arch. Rational Mech. Anal., 121 (1992), 101–130.
Precise damping conditions for global asymptotic stability for nonlinear second-order systems (with P. Pucci). Acta Math., 170 (1993), 275–307. See also entry [133].
IMA Vols. in Math. Appl., vol. 47. Springer-Verlag, New York, 1993, pp. 157–174.
The equations of continuum mechanics as a consequence of group invariance. In Advances in Continuum Mechanics, (G. Ferrarese, ed.). Pitagora Editrice, Bologna, 1993, pp. 217–225.
Asymptotic behavior of solutions of a nonstandard second-order differential equation (with W.A. Harris and P. Pucci). Differential Integral Equations, 6 (1993), 1201–1215.
Existence and non-existence results for ground states of degenerate Laplace equations (with H. Zou). In Differential Equations with Applications to Mathematical Physics, vol. 192. Academic Press, New York, 1993, pp. 287–305.
Precise damping conditions for global asymptotic stability of nonlinear second-order systems, II (with P. Pucci). J. Differential Equations, 113 (1994), 505–534.
Asymptotic stability for intermittently controlled nonlinear oscillators (with P. Pucci). SIAM J. Math. Anal., 25 (1994), 815–835.
On the derivation of Hamilton’s equations (with R Pucci). Arch. Rational Mech. Anal., 125 (1994), 297–310.
Ground states of a quasi-linear equation (with L.A. Peletier and H. Zou). Differential Integral Equations, 7 (1994), 1063–1082.
Asymptotic estimates for a nonstandard second-order differential equation (with W.A. Harris and P. Pucci). In Differential Equations, Dynamical Systems, and Control Science: A Festschrift in Honor of Lawrence Markus, (K.D. Elworthy et al., eds.). Lecture Notes in Pure and Applied Mathematics. Marcel Dekker, New York, 1994, pp. 75-85.
Classification of positive solutions of quasi-linear elliptic equations (with H. Zou). Topological Meth. Nonlinear Anal., 3 (1994), 1–26.
Asymptotic integration of second-order systems (with H. Zou). Amer. J. Math., 116 (1994), 1241–1264.
Bifurcation for semilinear equations at a singular limit (with F. Merle and L.A. Peletier). Indiana Univ. Math. J., 43 (1994), 585–605.
Non-existence of positive solutions of semilinear elliptic systems (with H. Zou). In A Tribute to Ilya Bakelman, (S.A. Fulling et al., eds.). Discourses in Mathematics and its Applications, vol. 3. Department of Mathematics, Texas A M University, 1994, pp. 56–69.
Space, Time, and Energy. Lectio Doctoralis at the University of Ferrara. In this volume.
Remarks on Lyapunov stability (with P. Pucci). Differential Integral Equations, 8 (1994), 1265–1278.
A numerical study of the existence and non-existence of ground states and their bifurcation for the equations of Chipot and Weissler (with Y. Yan and H. Zou). Unpublished manuscript, 1994.
Reflections on mathematics. Lectio Doctoralis at the University of Padova. In “L’Anno Galileiano,” Vol. I. Ed. Lint, Trieste, 1995, pp. 120–124.
Asymptotic stability for ordinary differential systems with time dependent restoring potentials (with P. Pucci). Arch. Rational Mech. Anal., 132 (1995), 207–232.
On the elementary thermodynamics of quasi-static systems and other remarks. In Thermoelastic Problems and the Thermodynamics of Continua. AMD-Vol. 198, 5362. Amer. Soc. Mech. Eng., Applied Mech. Div., 1995.
Quasi-variational systems. In First World Congress of Nonlinear Analysts (V. Lakshmikantham, ed.). De Gruyter, Berlin, 1996, pp. 2055–2068.
Asymptotic stability for non-autonomous damped wave systems (with P. Pucci). Comm. Pure Appl. Math., XLIX (1996), 177–216.
Existence and uniqueness of ground states of quasi-linear elliptic equations (with B. Franchi and E. Lanconelli). Adv. in Math., 118 (1996), pp. 177–143.
The Navier-Stokes equations and the laws of thermodynamics. Meccanica, 31 (1996), 546–563.
Stability for abstract evolution equations (with P. Pucci). In Partial Differential Equations and Applications, (P. Marcellini et al., eds.). Marcel Dekker, New York, 1996, 279–288.
Non-existence of positive solutions of Lane-Emden systems (with H. Zou). Differential Integral Equations, 9 (1996), 635–653.
Global non-existence theorems for quasi-linear evolution equations with dissipation (with H. Levine). Arch. Rational Mech. Anal., 137 (1997), 341–361.
Asymptotic stability for nonlinear parabolic systems (with P. Pucci). In Energy Mathods in Continuum Mechanics. Kluwer Academic, Dordrecht, 1996, pp. 66–74.
Existence of positive solutions of the Lane-Emden system (with H. Zou). Atti Sem. Mat. Fis. Univ. Modena (1997). To appear.
Local asymptotic stability for dissipative wave systems (with P. Pucci). Israel J. Math. (1997). To appear.
Stability and blow-up for dissipative evolution equations (with P. Pucci). In Partial Differential Equations and Applications (G. Caristi and E. Mitidieri, eds.). Lecture Notes in Pure and Applied Math., vol. 177. Marcel Dekker, New York, 1977, pp. 279–288.
Some remarks on global non-existence for non-autonomous abstract evolution equations (with H. Levine and P. Pucci). Contemp. Math., 208 (1997), 253–263.
Uniqueness of ground states for quasi-linear elliptic operators (with P. Pucci). To appear.
The existence of positive entire solutions of elliptic Hamiltonian systems (with H. Zou). To appear.
Global existence and nonexistence theorems for quasi-linear evolution equations of formally parabolic type (with H. Levine and S.R. Park), J. Diff. Eqs. To appear.
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Pucci, P. (1998). An Appreciation of James Serrin. In: Buttazzo, G., Galdi, G.P., Lanconelli, E., Pucci, P. (eds) Nonlinear Analysis and Continuum Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2196-8_1
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