A note on a resonance problem

DOI10.1017/S030821050001444XzbMath0593.35036OpenAlexW2147045602MaRDI QIDQ3722944

Daniela Lupo, Sergio Solimini

Publication date: 1986

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/s030821050001444x

zbMATH Keywords

variational methodssecond-order elliptic equationresonance problem

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Variational methods for second-order elliptic equations (35J20)

Related Items (17)

Solvability of some pendulum-type equations with linear damping and homogeneous Dirichlet conditions ⋮ DIRICHLET PROBLEM OF ELLIPTIC EQUATIONS WITH STRONG RESONANCES ⋮ Oscillatory perturbations of linear problems at resonance ⋮ Critical point theorems and applications to nonlinear boundary value problems ⋮ Problems at resonance for equations with periodic nonlinearities. ⋮ Nontrivial solutions for a multivalued problem with strong resonance ⋮ A nonlinear elliptic problem at resonance with a nonsimple eigenvalue ⋮ Nonzero solutions of a nonlinear elliptic system at resonance ⋮ Asymptotic behavior of positive solution branches of elliptic problems with linear part at resonance ⋮ Existence and multiplicity of solutions for a class of semilinear elliptic equations ⋮ Remarks on existence and multiplicity of solutions for a class of semilinear elliptic equations ⋮ A generalized saddle point theorem ⋮ Morse index estimates in min-max theorems ⋮ On the existence of a nontrivial solution to nonlinear problems at resonance ⋮ A Class of Nonlinear Sturm-Liouville Problems With Infinitely Many Solutions ⋮ Periodic perturbations of linear systems at resonance ⋮ Periodic perturbations of a class of resonant problems

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