Gaps of consecutive eigenvalues of Laplace operator and the existence of multiple solutions for superlinear elliptic problem

DOI10.1016/j.jfa.2016.04.020zbMath1336.35261OpenAlexW2346105850MaRDI QIDQ285810

Chong Li, Shu-Jie Li

Publication date: 19 May 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.04.020

zbMATH Keywords

Ambrosetti-Rabinowitz conditionfourth nontrivial solutiongaps of consecutive eigenvaluesnew homological linking theorem

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Variational methods applied to PDEs (35A15) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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