Nontrivial solutions of semilinear equations at resonance

DOI10.1016/J.JMAA.2006.01.037zbMath1167.35365OpenAlexW1981253383MaRDI QIDQ854023

Abdelrachid El Amrouss

Publication date: 7 December 2006

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.2006.01.037

zbMATH Keywords

Morse theorycritical pointmultiple solutionscritical groupresonance

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) 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) Semilinear elliptic equations (35J61)

Related Items (3)

Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance ⋮ Existence of multiple nontrivial solutions for semilinear elliptic problems ⋮ Nontrivial solutions for some fourth order boundary value problems with parameters

Cites Work

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