MULTIPLE POSITIVE SOLUTIONS FOR A CRITICAL GROWTH PROBLEM WITH HARDY POTENTIAL

DOI10.1017/S0013091504001464zbMath1219.35097OpenAlexW2143495897MaRDI QIDQ5466807

Pigong Han

Publication date: 22 May 2006

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

Full work available at URL: https://doi.org/10.1017/s0013091504001464

zbMATH Keywords

Palais-Smale conditionpositive solutioncritical Sobolev exponentsubsolution and supersolution

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Positive solutions to PDEs (35B09)

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Solutions of the quasilinear elliptic systems with combined critical Sobolev-Hardy terms ⋮ Existence of solutions for the critical elliptic system with inverse square potentials ⋮ Multiple positive solutions for \(p\)-Laplace elliptic equations involving concave-convex nonlinearities and a Hardy-type term ⋮ Existence and multiplicity of positive solutions for some Hardy-Sobolev critical elliptic equation with boundary singularities ⋮ Multiplicity of positive solutions for weighted quasilinear elliptic equations involving critical Hardy-Sobolev exponents and concave-convex nonlinearities ⋮ Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy-Sobolev exponents ⋮ Existence of sign-changing solutions for a nonlinear elliptic problem on \(\mathbb R^N\) with a Hardy term ⋮ Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities ⋮ Existence and multiplicity of positive solutions for \(p\)-Laplacian elliptic equations

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