On the critical dimension of a semilinear degenerate elliptic equation involving critical Sobolev-Hardy exponent

DOI10.1016/0362-546X(95)00048-ZzbMath0855.35042OpenAlexW1992631754MaRDI QIDQ4886590

Kai-Seng Chou, Di Geng

Publication date: 15 August 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00048-z

zbMATH Keywords

critical dimensionsSobolev-Hardy inequalitysingularly weighted semilinear eigenvalue problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30)

Related Items (11)

RADIAL SOLUTIONS FOR WEIGHTED SEMILINEAR EQUATIONS ⋮ Existence results for Brezis-Nirenberg problems with Hardy potential and singular coefficients ⋮ Some new and short proofs for a class of Caffarelli-Kohn-Nirenberg type inequalities ⋮ Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications ⋮ Singular minimization problems ⋮ Existence of a nontrivial weak solution to quasilinear elliptic equations with singular weights and multiple critical exponents ⋮ The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights ⋮ Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients ⋮ A note on a result of M. Grossi ⋮ Extremal functions and best constants to an inequality involving Hardy potential and critical Sobolev exponent ⋮ Diagonals of Green's functions and applications

Cites Work

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• Symmetry and related properties via the maximum principle
• A weighted semilinear elliptic equation involving critical Sobolev exponents
• Critical exponents and critical dimensions of polyharmonic operators
• Critical exponents, critical dimensions and the biharmonic operator
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On the Best Constant for a Weighted Sobolev-Hardy Inequality

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