Multiplicity of solutions for an elliptic problem with critical Sobolev-Hardy exponents and concave-convex nonlinearities

DOI10.1155/2014/180105zbMath1288.35262OpenAlexW2024264080WikidataQ59057345 ScholiaQ59057345MaRDI QIDQ2443781

Yuxia Tong, Juan Li

Publication date: 8 April 2014

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/180105

zbMATH Keywords

weak solutionscritical Sobolev-Hardy exponentsexistence of multiple solutionsconcave-convex nonlinearities

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30)

Cites Work

• Multiple positive solutions for a quasilinear elliptic problem involving critical Sobolev-Hardy exponents and concave-convex nonlinearities
• Multiple positive solutions for \(p\)-Laplace elliptic equations involving concave-convex nonlinearities and a Hardy-type term
• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• On the quasilinear elliptic problem with a critical Hardy-Sobolev exponent and a Hardy term
• On the quasilinear elliptic problems with critical Sobolev-Hardy exponents and Hardy terms
• Multiplicity of Solutions for Elliptic Problems with Critical Exponent or with a Nonsymmetric Term
• Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents
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