This is a preview of subscription content, log in via an institution to check access.
References
Ambrosetti, A., Rabinowitz, P.: Dual variational methods in critical point theory and applications, J. Funct. Anal.14, 349–381 (1973)
Bahri, A., Coron, J.M.: Une théorie des points critiques à l'infini pour l'équation de Yamabe et le problème de Kazdan-Warner, C.R. Acad. Sci. Paris Sér. I Math300, 513–516 (1985)
Bahri, A., Coron, J.M.: Equation de Yamabe sur un ouvert non contractible, Proceedings of the Conference “Variational Methods in Differential Problems”, Trieste 1985, to appear on Rend. Sem. Mat. Univ. Trieste
Benci, V., Coron, J.M.: The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere, Ann. Inst. H. Poincaré Anal. Non Linéaire2, 119–142 (1985)
Brezis, H.: Some variational problems with lack of compactness, Nonlinear Functional Analysis and its Applications, Proc. Sympos. Pure Math.45, Part 1, 165–202
Brezis, H.: Elliptic equations with limiting Sobolev exponents — the impact of topology, Proc. Sympos. 50th Ann. Courant Institute, to appear on Comm. Pure Appl. Math
Brezis, H., Coron, J.M.: Large solutions for harmonic maps in two dimensions, Comm. Math. Phys.92, 203–215 (1983)
Brezis, H., Coron, J.M.: Multiple solutions of H-systems and Rellich's conjecture, Comm. Pure Appl. Math.37, 149–187 (1984)
Brezis, H., Coron, J.M.: Convergence of solutions of h-systems, or how to blow up bubbles, Arch. Rational Mech. Anal.89, 21–56 (1985)
Brezis, H., Coron, J.M., Lieb, E.H.: Harmonic maps with defects, in press
Brezis, H., Lieb, E.H.: A relation between pointwise convergence of functions and convergence of integrals, Proc. Amer. Math. Soc.88, 486–490 (1983)
Brezis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math.36, 437–477 (1983)
Coron, J.M.: Topologie et cas limite des injections de Sobolev, C.R. Acad. Sci. Paris Sér I Math.299 209–212 (1984)
de Figuereido, D.G., Lions, P.L., Nussbaum, R.D.: A priori estimates and existence of positive solutions of semilinear elliptic equations, J. Math. Pures Appl.61, 41–63 (1982)
Fortunato, D., Palmieri, G.: Remarks on the Yamabe problem and the Palais-Smale condition, Rend. Sem. Mat. Univ. Padova75, 47–65 (1986)
Kinderlehrer, D., Stampacchia, G.: An introduction to variational inequalities and their applications, Academic Press, New York 1980
Lions, J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires, Gauthier-Villars, Paris 1969
Lions, P.L.: The Concentration-Compactness principle in the Calculus of Variations: the limit case, Rev. Mat. Iberoamericana1, 145–201 vol 1 and 45–121 vol. 2 (1985)
Mancini, G., Musina, R.: Sur un problème à frontière libre dans le cas limite des injections de Sobolev, to appear on C.R. Acad.Sci. Paris
Mancini, G., Musina, R.: Holes and obstacles, in preparation
Struwe, M.: Large H-surfaces via the Mountain Pass Lemma, Math. Ann.270, 441–459 (1985)
Shoen, R.: Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom.20, 479–495 (1984)
Szulkin, A.: Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems, Ann. Inst. H. Poincaré Anal. Non Linéaire3, 77–109 (1986)
Taubes, C.H.: Path connected Yang-Mills moduli spaces, J. Differential Geom.19, 337–392 (1984)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mancini, G., Musina, R. A free boundary problem involving limiting Sobolev exponents. Manuscripta Math 58, 77–93 (1987). https://doi.org/10.1007/BF01169084
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01169084