Existence of weak solutions for a class of \((p,q)\)-Laplacian systems on resonance

DOI10.1016/j.aml.2015.06.004zbMath1329.35142OpenAlexW620688962MaRDI QIDQ894400

Zeng-Qi Ou

Publication date: 30 November 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.06.004

zbMATH Keywords

critical pointelliptic systemsG-linking theoremLandesman-Lazer-type conditions

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92) Higher-order elliptic systems (35J48)

Related Items

Existence of weak solutions for a class of \((p,q)\)-Laplacian systems

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