Multiple solutions for nearly resonant nonlinear Dirichlet problems

DOI10.1007/s11118-011-9255-8zbMath1257.35083OpenAlexW1972441954MaRDI QIDQ715737

Nikolaos S. Papageorgiou, Francesca Papalini

Publication date: 31 October 2012

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-011-9255-8

zbMATH Keywords

critical groupsmountain pass theoremlocal minimizerhomotopy equivalentnear resonancecoercive functionalcontractible

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Quasilinear elliptic equations (35J62)

Related Items (7)

On a class of parametric \((p,2)\)-equations ⋮ Robin problems near resonance at any nonprincipal eigenvalue ⋮ Bifurcation from infinity and multiplicity results for an elliptic system from biology ⋮ Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ Seven solutions with sign information for sublinear equations with unbounded and indefinite potential and no symmetries ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ A note on multiplicity of solutions near resonance of semilinear elliptic equations

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