Radial symmetry of semilinear elliptic systems via elliptic geometry

Baiyu Liu; Wenlong Yang

doi:10.4134/JKMS.j240412

논문KCI 등재

Radial symmetry of semilinear elliptic systems via elliptic geometry

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키워드

radial symmetry Elliptic systems elliptic geometry

주제분류수학

초록

Employing the refined moving plane method within the rigorous framework of elliptic geometry, we derive some new monotonicity properties for the solutions of elliptic systems, thereby extending the scope of existing results confined to single-scale equations in the literature.

Abstract

Employing the refined moving plane method within the rigorous framework of elliptic geometry, we derive some new monotonicity properties for the solutions of elliptic systems, thereby extending the scope of existing results confined to single-scale equations in the literature.

관련 논문AI추천

Symmetry of components for radial solutions of $\gamma$-Laplacian systemsYun Wang대한수학회 · 대한수학회지2016 · 제53권 제2호 Properties of positive solutions for the fractional Laplacian systems with positive-negative mixed powersAnjie Yuan, Mengjia Niu, Yuanyuan Shen, Zhongxue Lu대한수학회 · 대한수학회지2024 · 제61권 제3호 Symmetry and monotonicity of solutions to fractional elliptic and parabolic equationsFanqi Zeng대한수학회 · 대한수학회지2021 · 제58권 제4호 Radial symmetry of positive solutions to a class of fractional Laplacian with a singular nonlinearityLinfen Cao, Xiaoshan Wang대한수학회 · 대한수학회지2021 · 제58권 제6호 Curvature estimates for a class of fully nonlinear elliptic equations with general right hand sidesJundong Zhou대한수학회 · 대한수학회보2024 · 제61권 제2호 On a class of semilinear elliptic systems involving Grushin type operatorNguyen Thanh Chung대한수학회 · 대한수학회논문집2014 · 제29권 제1호

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