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

被引：38
|
作者：
Cingolani, Silvia [1 ]
Secchi, Simone [2 ]
机构：
[1] Politecn Bari, Dipartimento Meccan Matemat & Management, I-70125 Bari, Italy
[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan, Italy
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2015年 / 145卷 / 01期
关键词：
EXISTENCE; UNIQUENESS; LIMIT; FIELD;
D O I：
10.1017/S0308210513000450
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of positive ground state solutions to the pseudo-relativistic Schrodinger equation root-Delta vertical bar m(2)u vertical bar Vu = (W * vertical bar u vertical bar(theta))vertical bar u vertical bar(theta-2) u in R-N, u is an element of H-1/2(R-N), 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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页码：73 / 90
页数：18
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