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On the diffusion coefficient of a semilinear Neumann problem

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Calculus of Variations and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1340))

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References

  1. H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983), 437–478.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. 1, Interscience 1953, New York.

    MATH  Google Scholar 

  3. W.-Y. Ding and W.-M. Ni, On the existence of positive entire solutions of a semilinear elliptic equation, Arch. Rational Mech. Anal. 91 (1986), 283–308.

    Article  MathSciNet  MATH  Google Scholar 

  4. C.-S. Lin, W.-M. Ni and I. Takagi, Large amplitude stationary solutions to a chemotaxis system, preprint.

    Google Scholar 

  5. W.-M. Ni, On the positive radial solutions of some semilinear elliptic equations on Rn, Appl. Math. Optim. 9 (1983), 373–380.

    Article  MathSciNet  MATH  Google Scholar 

  6. W.-M. Ni and I. Takagi, On the Neumann problem for some semilinear elliptic equations and systems of activator-inhibitor type, Trans. Amer. Math. Soc. 297 (1986), 351–368.

    Article  MathSciNet  MATH  Google Scholar 

  7. S.I. Pohozaev, Eigenfunctions of the equation Δμ+λf(u)=0, Soviet Math. Dokl. 5 (1965), 1408–1411.

    MathSciNet  Google Scholar 

  8. R.H. Rabinowitz, Variational methods for nonlinear eigenvalue problems, Indiana Univ. Math. J. 23 (1974), 729–754.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 92093, La Jolla, CA, USA

    Chang-Shou Lin

  2. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Wei-Ming Ni

Authors
  1. Chang-Shou Lin
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  2. Wei-Ming Ni
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Editor information

Stefan Hildebrandt David Kinderlehrer Mario Miranda

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Dedicated to Hans Lewy

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© 1988 Springer-Verlag

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Lin, CS., Ni, WM. (1988). On the diffusion coefficient of a semilinear Neumann problem. In: Hildebrandt, S., Kinderlehrer, D., Miranda, M. (eds) Calculus of Variations and Partial Differential Equations. Lecture Notes in Mathematics, vol 1340. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082894

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  • DOI: https://doi.org/10.1007/BFb0082894

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50119-0

  • Online ISBN: 978-3-540-45932-3

  • eBook Packages: Springer Book Archive

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