Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev–Hardy exponents

DOI10.1017/S0013091506001568zbMath1156.35028OpenAlexW2121725607MaRDI QIDQ3612051

Wen Ming Zou, Xiao-Ming He

Publication date: 3 March 2009

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091506001568

zbMATH Keywords

compactnessmultiple solutionssingular elliptic equationcritical Sobolev-Hardy growth

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (11)

Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev critical exponents ⋮ Multiplicity of solutions for elliptic problems of \(p\)-Kirchhoff type with critical exponent ⋮ On the existence and multiplicity of solutions for a class of singular elliptic problems ⋮ Infinitely many small solutions for the \( p (x)\)-Laplacian operator with nonlinear boundary conditions ⋮ Unnamed Item ⋮ Multiplicity result for a class of elliptic equations with singular term ⋮ Multiplicity of solutions for Kirchhoff-type problems involving critical growth ⋮ On a fractional \(p \& q\) Laplacian problem with critical Sobolev-Hardy exponents ⋮ Multiplicity of solutions for a class of quasilinear elliptic equation involving the critical Sobolev and Hardy exponents ⋮ Multiplicity of solutions to the weighted critical quasilinear problems ⋮ Compact embedding results of Sobolev spaces and positive solutions to an elliptic equation

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