Nontrivial solutions for \(p\)-Laplacian systems

DOI10.1016/j.jmaa.2006.07.072zbMath1176.35063OpenAlexW1995696177MaRDI QIDQ874930

Haiyan Wang, Dang Dinh Hai

Publication date: 10 April 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.072

zbMATH Keywords

Schauder fixed-point theorem\(p\)-Laplacianelliptic system

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Variational methods for elliptic systems (35J50) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for first-order elliptic systems (35J56)

Related Items

Note on nontrivial solutions for a class of \(p\)-Laplacian systems ⋮ Existence of solutions for a p-Laplacian system with a nonresonance condition between the first and the second eigenvalues ⋮ A class of singular \(k_{i}\)-Hessian systems ⋮ Abstract weak Harnack inequality, multiple fixed points and \(p\)-Laplace equations ⋮ Nonzero positive weak solutions of systems of \(p\)-Laplace equations ⋮ Positive solution for a class of coupled \((p,q)\)-Laplacian nonlinear systems ⋮ Nontrivial solutions for a quasilinear elliptic system ⋮ Nonexistence and multiplicity of nontrivial solutions for some nonuniformly nonlinear systems ⋮ Unnamed Item ⋮ Sufficient conditions for the existence and asymptotic behaviour of solution to a quasi-linear elliptic problem ⋮ Nonzero positive solutions of systems of elliptic boundary value problems ⋮ Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition

Cites Work

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• On the number of positive solutions of nonlinear systems.
• An existence result on positive solutions for a class of \(p\)-Laplacian systems.
• Boundary regularity for solutions of degenerate elliptic equations
• On the Existence of Positive Solutions of Semilinear Elliptic Equations
• Existence and uniqueness of solutions for quasilinear elliptic systems
• An existence result on positive solutions for a class of semilinear elliptic systems
• AN EXISTENCE THEOREM FOR QUASILINEAR SYSTEMS
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems

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