POSITIVE SOLUTIONS FOR PSEUDO-LAPLACIAN EQUATIONS WITH CRITICAL SOBOLEV EXPONENTS

  • Kim, Kwon-Wook (Department of Mathematics Education Sunchon National University)
  • Published : 1999.01.01

Abstract

A sufficient condition for pseudo-Laplacian equations involving critical Sobolev exponents to have positive solutions is established.

Keywords

References

  1. Math.Japonica v.42 no.1 Existence of positve soutions for Pseud laplacian equations involving critical Sobolev exponents Johsik Kim;Kwonwook Kim
  2. Indiana Univ. Math. J. v.21 On the existence of positve solutions of nonlinear elliptic boundary value problems H. Amann
  3. J. Funct. Anal. v.14 Daul variational methods in critical point theory and applications A. Ambrosetti;P. Rabinowitz
  4. Comm. Pure Appl. Math. v.33 Some critical poiny theorems and applications V. Benci
  5. Proc. Amer. Math. Soc. v.88 A relation between pointwise convergence of functions and convergence of functionals H. Brezis;E. Lieb
  6. Comm. Pure Appl. Math. v.36 Positive solutions of nonlinear elliptic equations involving critical Sovolev exponents H. Brezis;L. Nirenberg
  7. Nonlinear Anal. T.M.A. v.8 Quasilinear elliptic equations involving critical Sobolev exponents H. Guedda;L. Verron
  8. SIAM Review v.24 On the existence of positive solutions of semilinear elliptic equations P. Lions
  9. Bull. Amer. Math. Sco. v.4 Variational and topological methods in nonlinear problems L. Niremberg
  10. Soviet Math. Doklady. v.6 Eigenfunctions of the equation Δu+λf(u) = 0 S. Pohozaev
  11. Indian Univ. Math. J. v.23 Variational methods for nonlinear elliptic eigenvalue problems P. Rabinowitz
  12. Ann. Math. v.110 Best constans in Sobolev inequality G. Talenti
  13. Appl. Math. Optim. v.12 A strong maximum principle for some quasilnear elliptic equations J. Vazquez