Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator

Abstract

In this paper we prove the existence, regularity and symmetry of a ground state for a nonlinear equation in the whole space, involving a pseudo-relativistic Schrödinger operator.

References in corpus (1)

• Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian

Cited by in corpus (3)

• Zero mass case for a fractional Berestycki-Lions type problem
• The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results
• Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth