Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue

DOI10.1016/j.na.2009.11.004zbMath1194.35140OpenAlexW2055705947MaRDI QIDQ988839

Hong-Min Suo, Chun-Lei Tang

Publication date: 19 August 2010

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.2009.11.004

zbMATH Keywords

elliptic systemssaddle point theoremnear resonancenonprincipal eigenvalue

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) Second-order elliptic systems (35J47) Boundary value problems for second-order elliptic systems (35J57)

Related Items (7)

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 ⋮ The Neumann problem for a degenerate elliptic system near resonance

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