Existence of Solution for a Class of Quasilinear Systems

DOI10.1515/ans-2009-0307zbMath1194.35133OpenAlexW2509982216MaRDI QIDQ3397560

Sérgio H. M. Soares, Claudianor Oliveira Alves

Publication date: 22 September 2009

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2009-0307

zbMATH Keywords

variational methodcritical growthsecond-order elliptic systemsquasilinear elliptic equations with \(p\)-Laplacian

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Existence of solutions for perturbed elliptic system with critical exponents ⋮ Existence of nontrivial solutions for perturbed elliptic system in \(\mathbb{R}^N\) ⋮ Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent

Cites Work

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• The concentration-compactness principle in the calculus of variations. The limit case. II
• Infinitely many solutions for non-cooperative elliptic systems
• Nontrivial solutions for resonant noncooperative elliptic systems
• Strongly indefinite functionals and multiple solutions of elliptic systems

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