Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system | Zendy

Yaqiong Liu | Zendy; Yunting Li | Zendy; Qiuping Liao | Zendy; Yi Yun-Hui | Zendy

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Classification of nonnegative solutions to fractional Schrödinger-Hatree-Maxwell type system

Author(s) -

Yaqiong Liu,

Yunting Li,

Qiuping Liao,

Yi Yun-Hui

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).

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