Multiple solutions for a class of quasilinear problems involving variable exponents

Article type: Research Article

Authors: Alves, Claudianor O.^{; *} | Barreiro, José L.P.

Affiliations: Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, Campina Grande, Brazil. E-mails: coalves@dme.ufcg.edu.br, lindomberg@dme.ufcg.edu.br

Correspondence: [*] Corresponding author: Claudianor O. Alves, Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, CEP 58429-900, Campina Grande, PB, Brazil. E-mail: coalves@dme.ufcg.edu.br.

Abstract: In this paper we prove the multiplicity of solutions for a class of quasilinear problems in RN involving variable exponents. The main tool used in the proof are the variational methods, Ekeland’s variational principle and some properties related to Nehari manifold.

Keywords: existence, multiplicity, variable exponents, variational methods

DOI: 10.3233/ASY-151340

Journal: Asymptotic Analysis, vol. 96, no. 2, pp. 161-184, 2016