Multiple solutions for semilinear elliptic equations near resonance at higher eigenvalues

DOI10.1016/J.NA.2010.09.031zbMath1205.35108OpenAlexW2031845834MaRDI QIDQ611188

Chun-Lei Tang, Xiao-Feng Ke

Publication date: 14 December 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.2010.09.031

zbMATH Keywords

multiple solutionshigher eigenvaluesLandesman-Lazer type conditionnear resonance

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Related Items (4)

Robin problems near resonance at any nonprincipal eigenvalue ⋮ Multiple solutions for an elliptic system near resonance ⋮ Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian ⋮ The Neumann problem for a degenerate elliptic system near resonance

Cites Work

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