Open AccessClassification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system
Author(s) -
Yaqiong Liu,
Yunting Li,
Qiuping Liao,
Yunhui Yi
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021794
Subject(s) - schrödinger's cat , type (biology) , nonlinear system , mathematics , mathematical physics , physics , mathematical analysis , quantum mechanics , ecology , biology
In this paper, we are concerned with the fractional Schrödinger-Hatree-Maxwell type system. We derive the forms of the nonnegative solution and classify nonlinearities by appling a variant (for nonlocal nonlinearity) of the direct moving spheres method for fractional Laplacians. The main ingredients are the variants (for nonlocal nonlinearity) of the maximum principles, i.e., narrow region principle (Theorem 2.3).