Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials

dc.contributorUniversidade de Brasília (UnB)
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:16:02Z
dc.date.available2018-12-11T17:16:02Z
dc.date.created2018-12-11T17:16:02Z
dc.date.issued2018-03-15
dc.identifierJournal of Mathematical Analysis and Applications, v. 459, n. 2, p. 861-878, 2018.
dc.identifier1096-0813
dc.identifier0022-247X
dc.identifierhttp://hdl.handle.net/11449/175491
dc.identifier10.1016/j.jmaa.2017.11.014
dc.identifier2-s2.0-85034024361
dc.description.abstractIn this work it is studied a quasilinear elliptic problem in the whole space RN involving the 1-Laplacian operator, with potentials which can vanish at infinity. The Euler–Lagrange functional is defined in a space whose definition resembles BV(RN). It is proved the existence of a nonnegative nontrivial bounded variation solution and the proof relies on a version of the Mountain Pass Theorem without the Palais–Smale condition to Lipschitz continuous functionals.
dc.languageeng
dc.relationJournal of Mathematical Analysis and Applications
dc.relation1,103
dc.rightsAcesso restrito
dc.sourceScopus
dc.subject1-Laplacian
dc.subjectBounded variation functions
dc.subjectMountain pass theorem
dc.titleExistence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución