Multiplicity of solutions for the noncooperative \(p(x)\)-Laplacian operator elliptic system involving the critical growth

DOI10.1007/s10883-012-9149-0zbMath1275.35105OpenAlexW2136746033MaRDI QIDQ695346

Sihua Liang, Shaoyun Shi

Publication date: 21 December 2012

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-012-9149-0

zbMATH Keywords

critical growthconcentration-compactness principle\(p(x)\)-Laplaciangeneralized Lebesgue-Sobolev spacelimit index

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61)

Related Items (5)

Degenerate fractional Kirchhoff-type system with magnetic fields and upper critical growth ⋮ Multiple solutions for a class of generalized critical noncooperative Schrödinger systems in \(\mathbb{R}^N\) ⋮ 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 ⋮ On the noncooperative Schrödinger-Kirchhoff system involving the critical nonlinearities on the Heisenberg group

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