Semilinear elliptic problems near resonance with a nonprincipal eigenvalue

DOI10.1016/j.jmaa.2007.12.053zbMath1149.35044OpenAlexW1991313639MaRDI QIDQ2481875

Eugenio Massa, Francisco Odair de Paiva

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.12.053

zbMATH Keywords

semilinear elliptic equationsmultiplicity of solutionssaddle point geometryquasi resonant problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (14)

Multiplicity of nontrivial solutions for a class of superquadratic elliptic systems near resonance ⋮ Robin problems near resonance at any nonprincipal eigenvalue ⋮ Multiple solutions for semilinear elliptic equations near resonance at higher eigenvalues ⋮ Existence and multiplicity of solutions for asymptotically linear noncooperative elliptic systems ⋮ Multiple solutions for an elliptic system near resonance ⋮ Bifurcation from infinity and multiplicity results for an elliptic system from biology ⋮ Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ Multiple solutions for degenerate elliptic systems near resonance at higher eigenvalues ⋮ Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian ⋮ Multiplicity of solutions for Neumann problems for semilinear elliptic equations ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue ⋮ The Neumann problem for a degenerate elliptic system near resonance ⋮ A note on multiplicity of solutions near resonance of semilinear elliptic equations

Cites Work

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• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
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• On the Morse critical groups for indefinite sublinear elliptic problems
• A nonsymmetric asymptotically linear elliptic problem
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• Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach
• Nonlinear eigenvalue problems with the parameter near resonance
• Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues
• A class of resonant elliptic problems with sublinear nonlinearity at origin and at infinity
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