Skip to main content

On the diffusion coefficient of a semilinear Neumann problem

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

Keywords

  • Dirichlet Problem
  • Neumann Problem
  • Radial Solution
  • Positive Zero
  • Bounded Smooth Domain

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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.

    CrossRef  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.

    CrossRef  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.

    CrossRef  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.

    CrossRef  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.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Additional information

Dedicated to Hans Lewy

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

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

Download citation

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

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50119-0

  • Online ISBN: 978-3-540-45932-3

  • eBook Packages: Springer Book Archive