Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents

DOI10.1016/J.JMAA.2012.04.011zbMath1247.35040OpenAlexW2080688422MaRDI QIDQ432369

Yi Sheng Huang, Zhi Ying Deng

Publication date: 4 July 2012

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.2012.04.011

zbMATH Keywords

variational methods\(G\)-symmetric solutionsymmetric criticality principlecritical Hardy-Sobolev exponent

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)

Related Items (8)

On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ A class of nonlinear mixed ordered inclusion problems for ordered \((\alpha_A,\lambda)\)-\textit{ANODM} set-valued mappings with strong comparison mapping \(A\) ⋮ Solutions of the quasilinear elliptic systems with combined critical Sobolev-Hardy terms ⋮ Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents ⋮ Positive symmetric solutions for a class of critical quasilinear elliptic problems in \(\mathbb R^N\) ⋮ Radial nonlinear elliptic problems with singular or vanishing potentials ⋮ Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents ⋮ Solutions for the fractional p-Laplacian systems with several critical Sobolev-Hardy terms

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