Capillary Schwarz symmetrization in the half-space
Analysis of PDEs
2024-05-09 v1 Differential Geometry
Abstract
In this paper, 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 \cite{AFT97}.
Keywords
Cite
@article{arxiv.2304.01726,
title = {Capillary Schwarz symmetrization in the half-space},
author = {Zheng Lu and Chao Xia and Xuwen Zhang},
journal= {arXiv preprint arXiv:2304.01726},
year = {2024}
}
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15 pages