A variational approach to multiplicity in elliptic problems near resonance

DOI10.1017/S0308210500023696zbMath0869.35041OpenAlexW2139507051MaRDI QIDQ4337373

Miguel Ramos, Luís Sanchez

Publication date: 19 May 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500023696

zbMATH Keywords

existence of positive solutionsmultiple solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (14)

Unnamed Item ⋮ 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 ⋮ Dynamic Bifurcation from Infinity of Nonlinear Evolution Equations ⋮ Multiple solutions for Neumann and periodic problems with singular \(\phi \)-Laplacian ⋮ Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach ⋮ Semilinear elliptic problems near resonance with a nonprincipal eigenvalue ⋮ Multiple solutions for nearly resonant nonlinear Dirichlet problems ⋮ Multiplicity results for some elliptic systems near resonance with a nonprincipal eigenvalue ⋮ Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator ⋮ Multiplicity results near the principal eigenvalue for boundary-value problems with periodic nonlinearity

Cites Work

• Unnamed Item
• Multiplicity results for semilinear elliptic problems at resonance and with jumping nonlinearities
• Infinite dimensional Morse theory and multiple solution problems
• Landesman-Lazer type problems at an eigenvalue of odd multiplicity
• Vanational elliptic problems involving noncoercive functionals
• Bifurcation from infinity and multiple solutions for some Dirichlet problems with unbounded nonlinearities

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