Existence of ground state solutions to Dirac equations with vanishing potentials at infinity

Abstract

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 the energy functional over a generalized Nehari set. Some conditions on the potentials are given in order to overcome the lack of compactness.

Accepted for publication in Journal of Differential Equations