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- W2952770262 abstract "We prove existence of positive ground state solutions to the pseudo-relativistic Schr{o}dinger equation begin{equation*} left{ begin{array}{l} sqrt{-Delta +m^2} u +Vu = left( W * |u|^{theta} right)|u|^{theta -2} u quadtext{in $mathbb{R}^N$} u in H^{1/2}(mathbb{R}^N) end{array} right. end{equation*} where $N geq 3$, $m >0$, $V$ is a bounded external scalar potential and $W$ is a convolution potential, radially symmetric, satisfying suitable assumptions. We also furnish some asymptotic decay estimates of the found solutions." @default.
- W2952770262 created "2019-06-27" @default.
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- W2952770262 date "2014-02-26" @default.
- W2952770262 modified "2023-09-27" @default.
- W2952770262 title "Ground states for the pseudo-relativistic Hartree equation with external potential" @default.
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