The (p,q)-elliptic systems with concave-convex nonlinearities

DOI10.7153/dea-2017-09-35zbMath1401.35135OpenAlexW2776303764MaRDI QIDQ4684152

Zeng-Qi Ou, Xiao-Qi Liu

Publication date: 27 September 2018

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2017-09-35

zbMATH Keywords

positive solutionsNehari manifoldconcave-convex nonlinearities\((p,q)\)-elliptic systems

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92) Higher-order elliptic systems (35J48)

Related Items (2)

Multiple nonsemitrivial solutions for quasilinear elliptic systems via associated eigenvalue problems ⋮ Existence of nontrivial solutions for a poly-Laplacian system involving concave-convex nonlinearities on locally finite graphs

Cites Work

• On an existence result for a class of \((p,q)\)-gradient elliptic systems via a fibering method
• The Nehari manifold for a class of concave-convex elliptic systems involving the \(p\)-Laplacian and nonlinear boundary condition
• Existence of multiple solutions for quasilinear systems via fibering method
• Multiple positive solutions for semi-linear elliptic systems with sign-changing weight
• Lack of coercivity in a concave-convex type equation
• Existence of multiple positive solutions for a \(p\)-Laplacian system with sign-changing weight functions
• The Nehari manifold for systems of nonlinear elliptic equations
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