A perturbed nonlinear elliptic PDE with two Hardy–Sobolev critical exponents

DOI10.1142/S0219199715500613zbMath1343.35078arXiv1504.00730MaRDI QIDQ2809265

Xue Xiu Zhong, Wen Ming Zou

Publication date: 27 May 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00730

zbMATH Keywords

ground stateselliptic PDESobolev-Hardy critical exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Variational methods for second-order elliptic equations (35J20)

Related Items (6)

Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev critical exponents ⋮ Existence and multiplicity of positive solutions for a perturbed semilinear elliptic equation with two Hardy-Sobolev critical exponents ⋮ Fractional Kirchhoff-type equation with Hardy-Littlewood-Sobolev critical exponent ⋮ Positive ground state solutions for an elliptic system with Hardy-Sobolev critical exponent growth ⋮ Hardy-Sobolev equation on compact Riemannian manifolds involving \(p\)-Laplacian ⋮ Ground state solution ofp-Laplacian equation with finite many critical nonlinearities

Cites Work

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• On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem
• Hardy-Sobolev critical elliptic equations with boundary singularities
• Minimax theorems

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