Symmetric Ground States for Doubly Nonlocal Equations with Mass Constraint

Autor:	Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	double nonlocality Choquard nonlinearity Hartree term fractional Laplacian nonlinear Schrödinger equation normalized solutions Mathematics QA1-939
Zdroj:	Symmetry, Vol 13, Iss 7, p 1199 (2021)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym13071199
Popis:	We prove the existence of a spherically symmetric solution for a Schrödinger equation with a nonlocal nonlinearity of Choquard type. This term is assumed to be subcritical and satisfy almost optimal assumptions. The mass of of the solution, described by its norm in the Lebesgue space, is prescribed in advance. The approach to this constrained problem relies on a Lagrange formulation and new deformation arguments. In addition, we prove that the obtained solution is also a ground state, which means that it realizes minimal energy among all the possible solutions to the problem.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e8564ef62cd7408ea83e7cff926e04b4 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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