Resonant-Superlinear Elliptic Problems Using Variational Methods-Reference-Cited by-同舟云学术

Resonant-Superlinear Elliptic Problems Using Variational Methods

Published:2015-02-01 Issue:1 Volume:15 Page:157-169
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Silva Edcarlos Domingos da¹,Ribeiro Bruno²

Affiliation:

1. Departamento de Matemática Universidade Federal de Goiás, Caixa Postal 131, CEP: 74001-970 , Goiânia - GO, Brazil

2. Departamento de Matemática Universidade Federal da Paraíba, CEP: 58059-900, Paraíba - PB, Brazil

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2015-0108/pdf

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