Capillary Schwarz symmetrization in the half-space
نویسندگان
چکیده
Abstract In this article, we introduce a notion of capillary Schwarz symmetrization in the half-space. It can be viewed as counterpart classical framework problem A key ingredient is special anisotropic gauge, which enables us to transform convex introduced Alvino et al. https:/doi.org/10.1016/S0294-1449(97)80147-3 .
منابع مشابه
Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization
For a class of functions H : (0, ∞)×R 2 + → R, including discontinuous functions of Carathéo-dory type, we establish that R N H(|x|, u(x), v(x))dx ≤ R N H(|x|,u * (x), v * (x))dx, where u * (x) and v * (x) denote the Schwarz symmetrizations of nonnegative functions u and v.
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ژورنال
عنوان ژورنال: Advanced Nonlinear Studies
سال: 2023
ISSN: ['1536-1365', '2169-0375']
DOI: https://doi.org/10.1515/ans-2022-0078