On symmetric solutions of a singular elliptic equation with critical Sobolev--Hardy exponent

DOI10.1016/j.jmaa.2006.06.070zbMath1241.35055OpenAlexW2053220388MaRDI QIDQ868809

Yinbin Deng, Lingyu Jin

Publication date: 26 February 2007

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.2006.06.070

zbMATH Keywords

elliptic equationHardy inequality\(G\)-symmetric solutionPalais--Smale conditioncritical Sobolev--Hardy exponent

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for elliptic systems (35J50)

Related Items (15)

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Cites Work

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• On the existence and \(L^ p({\mathbb{R}}^ N)\) bifurcation for the semilinear elliptic equation
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Hardy inequalities and some critical elliptic and parabolic problems
• The role played by space dimension in elliptic critical problems
• Existence of solution for a singular critical elliptic equation.
• Minimax theorems
• On the existence of G-symmetric entire solutions for semilinear elliptic equations
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent

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