Capillary Schwarz symmetrization in the half-space

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 tran...

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Bibliographic Details
Published inAdvanced nonlinear studies Vol. 23; no. 1; pp. 275 - 293
Main Authors Lu, Zheng, Xia, Chao, Zhang, Xuwen
Format Journal Article
LanguageEnglish
Published De Gruyter 22.06.2023
Subjects
35J25
35J65
49Q20
anisotropic equations
capillary problem
isoperimetric inequality
symmetrization
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Summary: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.
ISSN:2169-0375
2169-0375
DOI:10.1515/ans-2022-0078