Fractional Schrödinger equation in bounded domains and applications
type: Item
instance of: scholarly article
title: Fractional Schrödinger equation in bounded domains and applications
zbMATH Open document ID: 1379.35072
author: Mohamed Ben Chrouda
published in: Mediterranean Journal of Mathematics
publication date: 2017-11-08T00:00:00Z
review text: The main purpose of the paper is the study of the positive solutions to a fractional Schrödinger problem. Precisely, for a nontrivial measure \(\mu\), the author shows that the considered problem admits one and only one solution \(u \in C^+\). The second purpose is to present some new results on the semilinear equation \(\Delta^{(\alpha/2)}u=u^\gamma\) on \(B\) (\(B\) being the unit ball in \(\mathbb R^d\)), which are closely related to the above problem. This second part is a continuation of the recent work by the author and Ben Fredj.
reviewed by: Maria Alessandra Ragusa
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6803993
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Martin kernel
zbMATH Keywords: Green function
MaRDI profile type: Publication
full work available at URL: s00009-017-0972-0
OpenAlex ID: W2738062686
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DOI: 10.1007/S00009-017-0972-0
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description: scientific article; zbMATH DE number 6803993