Multiple solutions for resonant elliptic equations via local linking theory and Morse theory
From MaRDI portal
Publication:5929876
DOI10.1006/jdeq.2000.3812zbMath0998.35021OpenAlexW2054410697MaRDI QIDQ5929876
No author found.
Publication date: 24 November 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2000.3812
Nonlinear boundary value problems for linear elliptic equations (35J65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (8)
Neumann problems resonant at zero and infinity ⋮ A semilinear elliptic equation with double resonance ⋮ Non-uniformly asymptotically linear \(p\)-Laplacian problems ⋮ Multiple solutions for elliptic equations with resonance ⋮ Multiple solutions for two nonlinear problems involving the \(p\)-Laplacian ⋮ Estimate of number of periodic solutions of second-order asymptotically linear difference system ⋮ CRITICAL GROUPS AT INFINITY, SADDLE POINT REDUCTION AND ELLIPTIC RESONANT PROBLEMS ⋮ Morse theory applied to semilinear problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solutions of superlinear at zero elliptic equations via Morse theory
- Critical point theory and Hamiltonian systems
- Existence of solutions for a class of resonant elliptic problems
- Elliptic resonant problems at higher eigenvalues with an unbounded nonlinear term
- Solutions for resonant elliptic systems with nonodd or odd nonlinearities
- Multiple solutions for asymptotically linear boundary value problems in which the nonlinearity crosses at least one eigenvalue
- The computations of the critical groups with an application to elliptic resonant problems at a higher eigenvalue
- Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
- A variational approach to subquadratic perturbations of elliptic systems
- Asymptotically linear elliptic equations without nonresonance conditions
- Nontrivial solutions for a strongly resonant problem
- Multiplicity results for boundary value problems with potentials oscillating around resonance
- Morse theory without (PS) condition at isolated values and strong resonance problems
- Infinite dimensional Morse theory and multiple solution problems
- On an elliptic boundary value problem at double resonance
- Applications of local linking to critical point theory
- Multiple solutions of some nonlinear strongly resonant elliptic equations without the (PS) condition
- Variational elliptic problems at double resonance
- A unified approach to a class of strongly indefinite functionals
- On differentiable functions with isolated critical points
- Existence of solution for a class of semilinear elliptic problems at double resonance
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Double resonance in semilinear elliptic problems
- Remarks on finding critical points
- Multiple Solutions for a Nonlinear Dirichlet Problem
- Variational elliptic problems which are nonquadratic at infinity
- Multiple critical points for asymptotically quadratic functionals
- Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
This page was built for publication: Multiple solutions for resonant elliptic equations via local linking theory and Morse theory
