Existence and multiplicity of positive solutions for a class of semilinear elliptic equations involving Hardy term and Hardy-Sobolev critical exponents

DOI10.1016/J.JMAA.2007.07.066zbMath1142.35029OpenAlexW1978237811MaRDI QIDQ2465867

Ling Ding, Chun-Lei Tang

Publication date: 10 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.07.066

zbMATH Keywords

positive solutionEkeland's variational principlestrong maximum principleHardy-Sobolev critical exponentsHardy term(PS)\(_c\) condition

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Existence and multiplicity of positive solutions for a perturbed semilinear elliptic equation with two Hardy-Sobolev critical exponents ⋮ Positive solutions for elliptic problems with the nonlinearity containing singularity and Hardy-Sobolev exponents ⋮ Some results for a class of Kirchhoff-type problems with Hardy-Sobolev critical exponent ⋮ Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities ⋮ Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents ⋮ Existence and multiplicity of positive solutions for elliptic equation with critical weighted Hardy-Sobolev exponents and boundary singularities ⋮ Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy-Sobolev critical exponent ⋮ Existence of solutions for singular critical semilinear elliptic equation ⋮ Existence and multiplicity of positive solutions for \(p\)-Laplacian elliptic equations ⋮ Hardy-Sobolev critical singular elliptic equations with mixed Dirichlet-Neumann boundary conditions ⋮ Existence and multiplicity of solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents

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