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math.AP2016
Existence of bounded variation solutions for a Laplacian problem with vanishing potentials
G. M. Figueiredo, M. T. O. Pimenta
In this work it is studied a quasilinear elliptic problem in the whole space involving the Laplacian operator, with potentials which can vanish at infinity. The…
math.AP2016
Strauss' and Lions' type results in with an application to Laplacian problem
G. M. Figueiredo, M. T. O. Pimenta
In this work we state and prove versions of some classical results, in the framework of functionals defined in the space of functions of bounded variation in . More p…
math.AP2016
Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
Giovany M. Figueiredo, Marcos T. O. Pimenta
In this work we study the existence of ground-state solutions of Dirac equations with potentials which are allowed to vanish at infinity. The approach is based on minimization of t…