Bifurcation from infinity and multiple solutions for some Dirichlet problems with unbounded nonlinearities

DOI10.1016/0362-546X(92)90155-8zbMath0780.35038OpenAlexW2026851136MaRDI QIDQ4030880

R. Nugari, Raffaele Chiappinelli, Jean Mawhin

Publication date: 1 April 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90155-8

zbMATH Keywords

multiple solutionssemilinear elliptic problemsbifurcation from infinitysub-solutionssuper- solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Bifurcations in context of PDEs (35B32)

Related Items (23)

Unnamed Item ⋮ Bifurcation from infinity for elliptic problems on \({\mathbb {R}}^N\) ⋮ On a class of parametric \((p,2)\)-equations ⋮ 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 ⋮ A note on resonance problems with nonlinearity bounded in one direction ⋮ Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ A variational approach to multiplicity in elliptic problems near resonance ⋮ Bifurcation from infinity of the Schrödinger equation via invariant manifolds ⋮ Bifurcation from infinity and multiple solutions for some discrete Sturm-Liouville problems ⋮ Nonlinear elastic beam problems with the parameter near resonance ⋮ On bifurcation from infinity for S1-equivariant potential operators ⋮ Nonzero solutions of a nonlinear elliptic system at resonance ⋮ Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach ⋮ Semilinear elliptic problems near resonance with a nonprincipal eigenvalue ⋮ Landesman-Lazer type results for second order Hamilton-Jacobi-Bellman equations ⋮ Multiple solutions for nearly resonant nonlinear Dirichlet problems ⋮ A note on multiplicity of solutions near resonance of semilinear elliptic equations ⋮ Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator ⋮ Existence and multiplicity of solutions for second-order Dirichlet problems with nonlinear impulses

Cites Work

• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• Landesman-Lazer type problems at an eigenvalue of odd multiplicity
• On bifurcation from infinity
• Some global results for nonlinear eigenvalue problems
• Remarks on some quasilinear elliptic equations
• Equivalent Norms for Sobolev Spaces
• Nonlinear eigenvalue problems with the parameter near resonance
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