Existence and multiplicity results for some elliptic systems at resonance

DOI10.1016/j.na.2009.01.106zbMath1172.35382OpenAlexW2032336281MaRDI QIDQ923921

Zeng-Qi Ou, Chun-Lei Tang

Publication date: 24 July 2009

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.2009.01.106

zbMATH Keywords

mountain pass theoremelliptic systemsresonancesaddle point theoremEkeland's variational principle

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50)

Related Items

Multiplicity of small negative-energy solutions for a class of semilinear elliptic systems, Ground state solutions for a class of semilinear elliptic systems with sum of periodic and vanishing potentials, Existence and multiplicity of solutions for asymptotically linear noncooperative elliptic systems, Multiple solutions for an elliptic system near resonance, Existence and multiplicity results for some elliptic systems with discontinuous nonlinearities, Multiple solutions for degenerate elliptic systems near resonance at higher eigenvalues, Multiplicity of solutions for gradient systems using Landesman-Lazer conditions, Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian, On some quasilinear elliptic systems with singular and sign-changing potentials, Multiplicity of solutions for Neumann problems for semilinear elliptic equations, Existence and multiplicity results for a degenerate quasilinear elliptic system near resonance, Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue, The existence of solutions for a class of semilinear elliptic systems, The Neumann problem for a degenerate elliptic system near resonance, Ground state of semilinear elliptic systems with sum of periodic and Hardy potentials, Existence and multiplicity of solutions for semilinear elliptic systems with periodic potential, Multiple Solutions for a Class of Degenerate Quasilinear Elliptic Systems, Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator

Cites Work

• Unnamed Item
• Unnamed Item
• A variational approach to subquadratic perturbations of elliptic systems
• Subharmonic solutions for subquadratic Hamiltonian systems
• Perturbations near resonance for the \(p\)-Laplacian in \({\mathbb R}^{N}\)
• Multiplicity of solutions for resonant elliptic systems
• SOLUTIONS FOR A RESONANT ELLIPTIC SYSTEM WITH COUPLING IN
• Asymptotically Linear Elliptic Systems
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Existence results for perturbations of the p-Laplacian
• Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach
• Nonlinear eigenvalue problems with the parameter near resonance
• Multiple solutions for asymptotically linear elliptic systems
• Principal eigenvalue for weight matrix in elliptic systems