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arXiv · 1704.03748

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

G. M. Figueiredo·M. T. O. Pimenta
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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.

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G. M. Figueiredo, M. T. O. Pimenta. 2017-04-12. Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions. https://arxiv.org/abs/1704.03748

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