Existence and multiplicity of solutions for critical elliptic equations with multi-polar potentials in symmetric domains

DOI10.1016/j.na.2012.05.021zbMath1250.35083OpenAlexW1979815759MaRDI QIDQ441171

Qianqiao Guo, Junqiang Han, Peng Cheng Niu

Publication date: 20 August 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.05.021

zbMATH Keywords

Sobolev exponentpositive solutionnonlinear elliptic equationbounded symmetric domainmulti-polar potentials

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Symmetries, invariants, etc. in context of PDEs (35B06)

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Multipolar Hardy inequalities on Riemannian manifolds ⋮ On a class of (p; q)-Laplacian problems involving the critical Sobolev-Hardy exponents in starshaped domain ⋮ The existence of solutions for quasilinear elliptic problems with multiple Hardy terms

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