Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions

Autor(es)

Figueiredo, Giovany M. ^[1] ; Pimenta, Marcos T. O. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF - Brazil

^[2] Univ Estadual Paulista, UNESP, Fac Ciencias & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 25, n. 5 OCT 2018.
• Citações Web of Science: 2

Resumo

In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, over a set which has its definition inspired in the Nehari manifold. As applications we present a result of existence of ground state bounded variation solutions of problems involving the 1-laplacian and the 1-biharmonic operator, where the nonlinearity satisfies mild assumptions. (AU)

• Processo FAPESP: 17/01756-2 - Métodos variacionais aplicados a problemas modelados no espaço das funções de variação limitada
• Beneficiário: Marcos Tadeu de Oliveira Pimenta
• Modalidade de apoio: Auxílio à Pesquisa - Regular