Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains
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Publication:4275605
DOI10.1016/0362-546X(93)90125-CzbMath0798.35055MaRDI QIDQ4275605
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Publication date: 30 October 1994
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
bounded and unbounded domainsdouble resonancesemilinear elliptic boundary value problemsexistence of a solutiongeneralized Landesman-Lazer condition
Related Items (16)
Multiplicity results on discrete boundary value problems with double resonance via variational methods ⋮ Existence and multiplicity of solutions for Neumann problems ⋮ Existence and multiplicity of solutions for asymptotically linear, noncoercive elliptic equations ⋮ Multiple solutions of semilinear elliptic problems at resonance ⋮ Existence results for an indefinite unbounded perturbation of a resonant Schrödinger equation ⋮ Double resonance for Robin problems with indefinite and unbounded potential ⋮ Double resonance for quasilinear elliptic higher order partial differential equations between the first and second eigenvalues ⋮ On asymptotically linear elliptic equations in \(\mathbb R^N\) ⋮ Dirichlet problems with double resonance and an indefinite potential ⋮ On resonant Neumann problems: multiplicity of solutions ⋮ Multiple periodic solutions for difference equations with double resonance at infinity ⋮ Existence of a nontrivial solution for a class of hemivariational inequality problems at double resonance ⋮ Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues ⋮ Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues ⋮ On a new notion of linking and application to elliptic problems at resonance ⋮ Solvability of elliptic boundary value problems without standard Landesman-Lazer condition
Cites Work
- On the solvability of a semilinear operator equation at resonance as applied to elliptic boundary value problems in unbounded domains
- Double resonance of semilinear operator equations in \(L_ 2\)-spaces
- Double resonance in semilinear elliptic problems
- A semilinear elliptic boundary value problem at resonance where the nonlinearity may grow linearly
- Real Interpolation of Sobolev Spaces on Subdomains of Rn
- A Resonance Problem in Which the Nonlinearity May Grow Linearly
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