Five nontrivial solutions of superlinear elliptic problem

DOI10.1016/j.jfa.2023.110266OpenAlexW4389117392MaRDI QIDQ6144846

Ming-Zheng Sun, Rushun Tian, Jiabao Su

Publication date: 30 January 2024

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2023.110266

zbMATH Keywords

Dirichlet problemexistence and multiplicitysemilinear equation with Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gaps of consecutive eigenvalues of Laplace operator and the existence of multiple solutions for superlinear elliptic problem
• Some qualitative results of the critical groups for the \(p\)-Laplacian equations
• Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem
• On a superlinear elliptic equation
• Multiple solutions of superlinear elliptic equations
• Multiple periodic solutions of ordinary differential equations with double resonance
• Infinitely many critical points for functionals which are not even and applications to superlinear boundary value problems
• Critical point theorems for indefinite functionals
• Nontrivial critical points for asymptotically quadratic functions
• Critical groups of pairs of critical points produced by linking subsets
• The Conley index and the critical groups via an extension of Gromoll-Meyer theory
• On the existence of sign changing solutions for semilinear Dirichlet problems
• Remarks on the resonant elliptic problem.
• On the Morse indices of sign changing solutions of nonlinear elliptic problems
• Infinite dimensional Morse theory and multiple solution problems
• Applications of local linking to critical point theory
• Multiplicity results for asymptotically linear elliptic problems at resonance.
• On bifurcation, critical groups and exact multiplicity of solutions to semilinear elliptic boundary value problems
• Multiplicity of critical points in presence of a linking: application to a superlinear boundary value problem
• Some bifurcation results and multiple solutions for the \(p\)-Laplacian equation
• Dual variational methods in critical point theory and applications
• Notes on the bifurcation theorem
• Multiple Critical Points of Perturbed Symmetric Functionals
• Morse index of some min-max critical points. I. Application to multiplicity results
• Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold
• Pairs of nontrivial solutions to concave-linear-convex type elliptic problems
• Methods in Nonlinear Analysis
• Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues

This page was built for publication: Five nontrivial solutions of superlinear elliptic problem