Capillary Schwarz symmetrization in the half-space-Reference-Cited by-同舟云学术

Capillary Schwarz symmetrization in the half-space

Published:2023-01-01 Issue:1 Volume:23 Page:
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Lu Zheng¹²,Xia Chao¹,Zhang Xuwen¹³

Affiliation:

1. School of Mathematical Sciences, Xiamen University , 361005 , Xiamen , P. R. China

2. Mathematisches Institut, Albert-Ludwigs-Universität Freiburg , Freiburg im Breisgau , 79104 , Germany

3. Institut für Mathematik, Goethe-Universität , 60325 , Frankfurt , Germany

Abstract

AbstractIn 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2022-0078/pdf

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