Existence of weak solutions for a class of quasilinear elliptic systems

DOI10.1186/s13661-015-0455-9zbMath1345.35034OpenAlexW1872255395WikidataQ59427994 ScholiaQ59427994MaRDI QIDQ284033

Zeng-Qi Ou, Chun Li

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0455-9

zbMATH Keywords

weak solutionsvariational methodnonlinear elliptic systems(PS)conditionLandesman-Lazer-type condition

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Cites Work

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• Resonance problems for the \(p\)-Laplacian systems
• Solvability of the forced Duffing equation at resonance
• Solvability for two-point boundary value problems
• Multiplicity of solutions for gradient systems using Landesman-Lazer conditions
• Resonance problems for the \(p\)-Laplacian
• Resonance problems for the \(p\)-Laplacian with a nonlinear boundary condition
• Landesman-lazer conditions and quasilinear elliptic equations
• p-Laplacian Systems on Resonance
• Solvability of Neumann problem for elliptic equations at resonance

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