Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents

DOI10.1016/J.AML.2006.09.013zbMath1137.35360OpenAlexW2087773641MaRDI QIDQ2472778

Ling Ding, Chun-Lei Tang

Publication date: 25 February 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.09.013

zbMATH Keywords

semilinear elliptic equationsmountain pass lemmaHardy termsHardy-Sobolev critical exponentsPS\(_c\) condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Existence and multiplicity of solutions for Kirchhof-type problems with Sobolev-Hardy critical exponent ⋮ Quasilinear elliptic equations with Hardy terms and Hardy-Sobolev critical exponents: nontrivial solutions ⋮ The existence of positive solution for semilinear elliptic equations with multiple an inverse square potential and Hardy-Sobolev critical exponents ⋮ Existence of positive solutions for a fractional elliptic problems with the Hardy-Sobolev-Maz'ya potential and critical nonlinearities ⋮ Existence of solutions for a Schrödinger-Poisson system with critical nonlocal term and general nonlinearity ⋮ Existence and multiplicity of positive solutions for elliptic equation with critical weighted Hardy-Sobolev exponents and boundary singularities ⋮ Existence of solutions for singular critical semilinear elliptic equation ⋮ Positive solutions for elliptic problems involving Hardy-Sobolev-Maz'ya terms ⋮ Existence and multiplicity of positive solutions for \(p\)-Laplacian elliptic equations ⋮ Existence of multiple positive solutions for Brezis-Nirenberg-type problems involving singular nonlinearities ⋮ 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 ⋮ On \(p\)-Laplace equations with singular nonlinearities and critical Sobolev exponent ⋮ On singular elliptic equation with singular nonlinearities, Hardy-Sobolev critical exponent and weights

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