4 papers
On a quasilinear elliptic problem involving the 1-laplacian operator and a discontinuous nonlinearity
Marcos T. O. Pimenta, Gelson C. G. Santos, João R. Santos Júnior
In this work, we study a quasilinear elliptic problem involving the 1-laplacian operator, with a discontinuous, superlinear and subcritical nonlinearity involving the Heaviside fun…
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…
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…
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…