Two disjoint and infinite sets of solutions for an elliptic equation involving critical Hardy-Sobolev exponents

DOI10.1007/s10473-023-0508-6zbMath1524.35233MaRDI QIDQ6116164

Mohssine El Mansour, Khalid Bouabid, Rachid Echarghaoui

Publication date: 17 July 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

critical Sobolev exponentLaplacianinfinitely many solutionsPohozaev identitycritical Sobolev-Hardy exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60)

Cites Work

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• Minimax theorems
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• Ljusternik-Schnirelman theory and non-linear eigenvalue problems
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• On an Elliptic Equation with Concave and Convex Nonlinearities

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