Nonnegative solutions for nonlinear elliptic systems

DOI10.1016/j.jmaa.2006.08.005zbMath1207.35123OpenAlexW1964795220MaRDI QIDQ874971

Jianfu Yang, Chaoquan Peng

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.2006.08.005

zbMATH Keywords

existencenonnegative solutionelliptic system

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35)

Related Items (5)

Liouville theorem for elliptic equations with nonlinear boundary value conditions and finite Morse indices ⋮ Solutions of the mixed boundary problem and their Morse indices ⋮ ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS WITH PARAMETERS ⋮ Liouville theorem for Robin boundary value problems and finite Morse indices ⋮ Asymptotically linear elliptic systems in \(\mathbb R^N\)

Cites Work

• Unnamed Item
• Introduction à la théorie des points critiques et applications aux problèmes elliptiques
• A priori bounds and renormalized Morse indices of solutions of an elliptic system
• Index estimates for strongly indefinite functionals, periodic orbits and homoclinic solutions of first order Hamiltonian systems
• Minimax theorems
• Differential systems with strongly indefinite variational structure
• A priori bounds for positive solutions of nonlinear elliptic equations
• On Superquadratic Elliptic Systems
• Spike-layered solutions for an elliptic system with Neumann boundary conditions

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