Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent

DOI10.1016/j.na.2010.05.047zbMath1198.35081OpenAlexW2040444319MaRDI QIDQ992809

Yanqin Fang, Ji Hui Zhang

Publication date: 10 September 2010

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.2010.05.047

zbMATH Keywords

multiple solutionscritical Sobolev exponent\(p\)-\(q\)-Laplacianlimit index

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Ground state solution for strongly indefinite Choquard system ⋮ Degenerate fractional Kirchhoff-type system with magnetic fields and upper critical growth ⋮ Multiple solutions for a class of generalized critical noncooperative Schrödinger systems in \(\mathbb{R}^N\) ⋮ The Neumann problem for a class of generalized Kirchhoff-type potential systems ⋮ ON A CLASS OF NONCOOPERATIVE FOURTH-ORDER ELLIPTIC SYSTEMS WITH NONLOCAL TERMS AND CRITICAL GROWTH ⋮ Multiple solutions for a non-cooperative elliptic system of Kirchhoff type involving \(p\)-biharmonic operator and critical growth

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