Nontrivial solutions for perturbations of a Hardy--Sobolev operator on unbounded domains.

DOI10.1016/J.JMAA.2003.08.040zbMath1109.35342OpenAlexW2027171997MaRDI QIDQ1421195

V. Raghavendra, Konijeti Sreenadh

Publication date: 26 January 2004

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.2003.08.040

zbMATH Keywords

\(p\)-LaplacianUnbounded domainHardy--Sobolev operator

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Cites Work

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• Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
• Extremal functions for Hardy's inequality with weight
• Semilinear elliptic equations on unbounded domains
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations

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