半空间中的毛细Schwarz对称

IF 2.1 2区数学 Q1 MATHEMATICS Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0078

Zheng Lu, C. Xia, Xuwen Zhang

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引用次数: 2

摘要

本文引入了半空间中毛细Schwarz对称的概念。它可以看作是半空间中毛细问题框架下的经典Schwarz对称的对应。一个关键因素是一个特殊的各向异性规范，它使我们能够将毛细管对称转换为Alvino等人引入的凸对称https:/doi.org/10.1016/S0294-1449(97)80147-3。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Capillary Schwarz symmetrization in the half-space

Abstract In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as the counterpart of the classical Schwarz symmetrization in the framework of capillary problem in the half-space. A key ingredient is a special anisotropic gauge, which enables us to transform the capillary symmetrization to the convex symmetrization introduced in Alvino et al. https:/doi.org/10.1016/S0294-1449(97)80147-3.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.