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

DOI10.1016/j.na.2009.10.024zbMath1184.35127OpenAlexW1604705918MaRDI QIDQ844958

Ghasem Alizadeh Afrouzi, Somayeh Mahdavi, Zohreh Naghizadeh

Publication date: 5 February 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.2009.10.024

zbMATH Keywords

mountain pass theoremsaddle point theoremEkeland's variational principle(\(p,q\))-Laplacian systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Variational methods for elliptic systems (35J50) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance, Existence results for Dirichlet problems with \((q,p)\)-Laplacian, Multiple Solutions for a Class of Degenerate Quasilinear Elliptic Systems

Cites Work

• Quasilinear elliptic systems with critical Sobolev exponents in \(\mathbb {R}^N\)
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• Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
• Multiplicity and regularity results for some quasilinear elliptic systems on \({\mathbb{R}}^N\)
• Some remarks on a system of quasilinear elliptic equations
• Dual variational methods in critical point theory and applications
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Nonlinear Singular Elliptic Equations
• p-Laplacian Systems on Resonance
• Bifurcation problems for the 𝑝-Laplacian in 𝑅ⁿ
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