Acta Mathematica Sinica

, Volume 3, Issue 1, pp 27–37 | Cite as

Positive solutions of nonlinear scalar field equations involing critical Sobolev exponent

  • Zhang Dong
Article

Keywords

Nonlinear Elliptic Equation Critical Sobolev Exponent Minimax Principle Scalar Field Equation Weak Limit Point 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Berestycki, H. and Lions, P.L., Exisitence of stationary states in nonlinear scalar field equations, Bifurcation phenomens in mathematical physics and related topics (ed. C. Bardos and D. Brezis, Reidel, 1980), 269–292.Google Scholar
  2. [2]
    Stuart, C. A., Bifurcation for Dirichlet problems without eigenvalues, Proc. London Math. Soc. Third Series,XLIV (1982), 169–192.MathSciNetGoogle Scholar
  3. [3]
    Bifurcation from the essential spectrum, Proc. of Equadiff 82.Google Scholar
  4. [4]
    H. Brezis L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure. Appl. Math.Google Scholar

Copyright information

© Science Press 1987

Authors and Affiliations

  • Zhang Dong
    • 1
  1. 1.Department of MathematicsPeking UniversityPekingChina

Personalised recommendations