Multiple sign-changing solutions to semilinear elliptic resonant problems

DOI10.1016/J.NA.2010.01.018zbMath1185.35096OpenAlexW1987700560MaRDI QIDQ960905

Fuyi Li, Yuhua Li

Publication date: 29 March 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.2010.01.018

zbMATH Keywords

topological degreecritical groupsign-changing solutionelliptic resonant problem

Mathematics Subject Classification ID

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) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance ⋮ Multiple results to some biharmonic problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational and topological methods in partially ordered Hilbert spaces
• Critical point theory and Hamiltonian systems
• Remarks on multiple solutions for asymptotically linear elliptic boundary value problems
• On the existence of sign changing solutions for semilinear Dirichlet problems
• On the Morse indices of sign changing solutions of nonlinear elliptic problems
• Mountain pass theorem in order intervals and multiple solutions for semilinear elliptic Dirichlet problems
• Infinite dimensional Morse theory and multiple solution problems
• The generalized Conley index and multiple solutions of semilinear elliptic problems
• Multiple solutions of some semilinear elliptic equations via the generalized Conley index
• On finding sign-changing solutions
• Multiple solutions for fourth-order boundary value problem
• An elliptic problem with jumping nonlinearities
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Nontrivial solutions for resonant cooperative elliptic systems via computations of critical groups
• Ljusternik-Schnirelman theory in partially ordered Hilbert spaces
• Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

This page was built for publication: Multiple sign-changing solutions to semilinear elliptic resonant problems