Artículos de revistas
Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
Fecha
2018-10-01Registro en:
Nonlinear Differential Equations and Applications, v. 25, n. 5, 2018.
1420-9004
1021-9722
10.1007/s00030-018-0538-2
2-s2.0-85053218194
2-s2.0-85053218194.pdf
Autor
Universidade de Brasília (UnB)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.