A unique weak solution for a kind of coupled system of fractional Schrödinger equations

[摘要] In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.

[学科分类] 环境科学（综合）

[关键词] fractional Laplacian;uniqueness;weak solution;nonlinear systems.