A note on multiplicity of solutions near resonance of semilinear elliptic equations
DOI10.3934/cpaa.2019151zbMath1481.35130OpenAlexW2944244192WikidataQ127800716 ScholiaQ127800716MaRDI QIDQ2062552
Chunqiu Li, Jinlong Bai, De-Sheng Li
Publication date: 27 December 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2019151
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple solutions for an elliptic system near resonance
- Existence and multiplicity of nontrivial solutions for semilinear elliptic Dirichlet problems across resonance
- On time-duality of the Conley index
- Multiple solutions for nearly resonant nonlinear Dirichlet problems
- The homotopy index and partial differential equations
- Geometric theory of semilinear parabolic equations
- On bifurcation from infinity for potential operators
- Convex analysis and measurable multifunctions
- A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential
- Landesman-Lazer type problems at an eigenvalue of odd multiplicity
- Semilinear elliptic problems near resonance with a nonprincipal eigenvalue
- Dynamic bifurcation of nonlinear evolution equations
- Generic properties of nonlinear boundary value problems
- Poincare-Lefschetz Duality for the Homology Conley Index
- Bifurcation from infinity and multiple solutions for some Dirichlet problems with unbounded nonlinearities
- Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations
- Local and global dynamic bifurcations of nonlinear evolution equations
- Isolated Invariant Sets and Isolating Blocks
- Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues
- Dynamics of evolutionary equations
This page was built for publication: A note on multiplicity of solutions near resonance of semilinear elliptic equations