Existence of solutions for elliptic equations with critical Sobolev--Hardy exponents.

DOI10.1016/J.NA.2003.11.008zbMath1046.35032OpenAlexW2083805745MaRDI QIDQ1428633

Dongsheng Kang, Shuangjie Peng

Publication date: 29 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.11.008

zbMATH Keywords

sign-changing solutionscritical Sobolev-Hardy exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Related Items (13)

Solutions of a quasilinear elliptic problem involving a critical Sobolev exponent and multiple Hardy-type terms ⋮ Solutions for semilinear elliptic problems with critical Sobolev-Hardy exponents in \(\mathbb R^N\) ⋮ On the elliptic problems with critical weighted Sobolev-Hardy exponents ⋮ On the elliptic problems involving multi-singular inverse square potentials and multi-critical Sobolev-Hardy exponents ⋮ Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents ⋮ Existence of sign-changing solutions for a nonlinear elliptic problem on \(\mathbb R^N\) with a Hardy term ⋮ Singular elliptic problems in \(\mathbb R^N\) with critical Sobolev-Hardy exponents ⋮ On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms ⋮ Solutions of the quasilinear elliptic problem with a critical Sobolev-Hardy exponent and a Hardy-type term ⋮ Influence of mean curvature on mountain-pass solutions for Hardy-Sobolev equations ⋮ On the elliptic problems involving multi-singular inverse square potentials and critical Sobolev exponent ⋮ Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents ⋮ Hardy-Sobolev equation on compact Riemannian manifolds involving \(p\)-Laplacian

Cites Work

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• The role played by space dimension in elliptic critical problems
• A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms.
• Sign-changing solutions for elliptic problems with critical Sobolev-Hardy exponents
• On positive entire solutions to a class of equations with a singular coefficient and critical exponent
• Existence of solutions for elliptic equations with critical Sobolev-Hardy exponents
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
• Existence of solutions for singular critical growth semilinear elliptic equations

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