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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Figueiredo, Giovany M. [1] ; Pimenta, Marcos T. O. [2]
Total Authors: 2
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS; v. 25, n. 5 OCT 2018.
Web of Science Citations: 2
Abstract

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)

FAPESP's process: 17/01756-2 - Variational methods applied to problems modeled in the space of functions of bounded variation
Grantee:Marcos Tadeu de Oliveira Pimenta
Support Opportunities: Regular Research Grants