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.

Cingolani, S., Secchi, S. (2015). Ground states for the pseudo-relativistic Hartree equation with external potential. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 145(1), 73-90 [10.1017/S0308210513000450].

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

SECCHI, SIMONE
2015

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.
Articolo in rivista - Articolo scientifico
Mathematics (all)
English
73
90
18
Cingolani, S., Secchi, S. (2015). Ground states for the pseudo-relativistic Hartree equation with external potential. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS, 145(1), 73-90 [10.1017/S0308210513000450].
Cingolani, S; Secchi, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/99770
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