Capillary Schwarz symmetrization in the half-space
arXiv:2304.01726 · doi:10.1515/ans-2022-0078
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}.
15 pages