Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
Analysis of PDEs
2017-04-13 v1
Abstract
In this work we prove some abstract results about the existence of a minimizer for locally Lipschitz functionals, without any assumption of homogeneity, 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 mean-curvature operator, where the nonlinearity satisfies mild assumptions.
Keywords
Cite
@article{arxiv.1704.03748,
title = {Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions},
author = {G. M. Figueiredo and M. T. O. Pimenta},
journal= {arXiv preprint arXiv:1704.03748},
year = {2017}
}