Capillary Schwarz symmetrization in the half-space

Autor: Lu Zheng, Xia Chao, Zhang Xuwen
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 275-293 (2023)
Druh dokumentu: article
ISSN: 2169-0375
DOI: 10.1515/ans-2022-0078
Popis: 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.
Databáze: Directory of Open Access Journals