Symmetry of positive solutions for systems of fractional Hartree equations

Yan Deng; Junfang Zhao; Baozeng Chu

doi:10.3934/dcdss.2021079

Article Contents

2021, Volume 14, Issue 9: 3085-3096. Doi: 10.3934/dcdss.2021079

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Symmetry of positive solutions for systems of fractional Hartree equations

School of Science, China University of Geosciences, Beijing 100083, China

Received: December 31, 2019

Revised: October 31, 2020

Early access: June 2021

Published: September 2021

This work is supported by National Natural Science Foundation of China 11601493, and partially supported by Fundamental Research Funds for Central Universities 2652018058

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Abstract

In this paper, we deal with a system of fractional Hartree equations. By means of a direct method of moving planes, the radial symmetry and monotonicity of positive solutions are presented.

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Mathematics Subject Classification: 35R11, 35B09.

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