Portal de Periódicos da CAPES

Artigo Produção Nacional Revisado por pares

BIBTEX RIS

Resonant-Superlinear Elliptic Problems Using Variational Methods

2015; De Gruyter; Volume: 15; Issue: 1 Linguagem: Inglês

10.1515/ans-2015-0108

2169-0375

Edcarlos Domingos da Silva, Bruno Ribeiro,

Differential Equations and Numerical Methods

Abstract In this work we establish existence and multiplicity of solutions for resonant-superlinear elliptic problems using appropriate variational methods. The nonlinearity is resonant at −∞ and superlinear at +∞ and the resonance phenomena occurs precisely in the first eigenvalue of the corresponding linear problem. Our main theorems are stated without the well known Ambrosetti-Rabinowitz condition.