Nonlinear elliptic boundary value problems at resonance
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Publication:3490354
DOI10.1016/0362-546X(90)90027-EzbMath0708.35033OpenAlexW2055203832MaRDI QIDQ3490354
Publication date: 1990
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0362-546x(90)90027-e
Nonlinear boundary value problems for linear elliptic equations (35J65) Spectral theory and eigenvalue problems for partial differential equations (35P99) Variational methods for higher-order elliptic equations (35J35)
Related Items (8)
Splitting subspaces and saddle points ⋮ The averaging principle and periodic solutions for nonlinear evolution equations at resonance ⋮ A nonlinear elliptic problem at resonance with a nonsimple eigenvalue ⋮ Nonzero solutions of a nonlinear elliptic system at resonance ⋮ The existence of three nontrivial solutions of a class of elliptic systems ⋮ Sharp multiplicity results for a semilinear dirichlet problem ⋮ Asymptotically linear elliptic boundary value problems ⋮ Homotopy invariants methods in the global dynamics of strongly damped wave equation
Cites Work
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- Saddle points and multiple solutions of differential equations
- Some results for semilinear differential equations at resonance
- Critical point theory and the number of solutions of a nonlinear Dirichlet problem
- On the solvability of semilinear gradient operator equations
- Hammerstein integral equations with indefinite kernel
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- A reduction method for some nonlinear dirichlet problems
- Non-trivial solutions of elliptic equations at resonance
- Double resonance in semilinear elliptic problems
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