Multiple sign-changing solutions of an elliptic eigenvalue problem

DOI10.3934/dcds.2005.12.737zbMath1124.35047OpenAlexW2081199801MaRDI QIDQ1779049

Aixia Qian, Shu-Jie Li

Publication date: 21 June 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.12.737

zbMATH Keywords

minimax theoryexistence of multiple sign-changing solutions for a semilinear elliptic eigenvalue problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

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Sign-changing solutions for nonlinear elliptic problems depending on parameters ⋮ A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease ⋮ On the existence of signed and sign-changing solutions for a class of superlinear Schrödinger equations

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