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, Silvia; Secchi, S.. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 145A:1(2015), pp. 73-90. [10.1017/S0308210513000450]
Ground states for the pseudo-relativistic Hartree equation with external potential
CINGOLANI, Silvia;
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.File in questo prodotto:
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