Vanational elliptic problems involving noncoercive functionals

DOI10.1017/S0308210500028237zbMath0692.35048OpenAlexW2137183638MaRDI QIDQ3034163

Luís Sanchez, Miguel Ramos

Publication date: 1989

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/s0308210500028237

zbMATH Keywords

direct methodfirst eigenvalueboundary value problem at resonancesign conditionLandesman-Lazar condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational principles in infinite-dimensional spaces (58E30)

Related Items (5)

Positive solutions for a class of semilinear two-point boundary value problems ⋮ Resonant singular boundary value problems ⋮ A variational approach to multiplicity in elliptic problems near resonance ⋮ Multiple solutions for a class of nonlinear boundary value problems near resonance: a variational approach ⋮ Boundary value problems for some fourth order ordinary differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• A class of nonlinear boundary value problems without Landesman-Lazer condition
• Unbounded perturbations of forced second order ordinary differential equations at resonance
• Solvability of a boundary value problem with the nonlinearity satisfying a sign condition
• Critical points with lack of compactness and singular dynamical systems
• Periodic solutions of dynamical systems with bounded potential
• Variational methods and semilinear elliptic equations
• Critical points of convex perturbations of some indefinite quadratic forms and semilinear boundary value problems at resonance
• Nonselfadjoint resonance problems with unbounded perturbations
• Resonance problems with nonlinearity interfering with eigenvalues of higher order^heigen
• Perturbations of second order linear elliptic problems by nonlinearities without landesman-lazer condition
• Double resonance in semilinear elliptic problems

This page was built for publication: Vanational elliptic problems involving noncoercive functionals