We prove the existence of positive ground state solutions to the pseudo-relativistic Schrödinger equation {equation presented}, where N ≥ 3, m > 0, V is a bounded external scalar potential and W is a radially symmetric convolution potential satisfying suitable assumptions. We also provide some asymptotic decay estimates of the found solutions.

Ground states for the pseudo-relativistic Hartree equation with external potential

Cingolani S.;
2015-01-01

Abstract

We prove the existence of positive ground state solutions to the pseudo-relativistic Schrödinger equation {equation presented}, where N ≥ 3, m > 0, V is a bounded external scalar potential and W is a radially symmetric convolution potential satisfying suitable assumptions. We also provide some asymptotic decay estimates of the found solutions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/206256
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