A Steiner Inequality for the Anisotropic Perimeter
نویسندگان
چکیده
In this paper, we prove the monotonicity of anisotropic perimeter sets finite under Steiner symmetrization by a variational formula volume and an inequality for lower outer Minkowski content. As consequence, give more direct proof Wulff symmetrization.
منابع مشابه
Rigidity of Equality Cases in Steiner Perimeter Inequality
Characterizations results for equality cases and for rigidity of equality cases in Steiner perimeter inequality are presented. (By rigidity, we mean the situation when all equality cases are vertical translations of the Steiner symmetral under consideration.) We achieve this through the introduction of a suitable measure-theoretic notion of connectedness and a fine analysis of barycenter functi...
متن کاملa cauchy-schwarz type inequality for fuzzy integrals
نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.
15 صفحه اولA fully anisotropic Sobolev inequality
Let n ≥ 2 and let A : Rn → [0,∞] be any convex function satisfying the following properties: A(0) = 0 and A(ξ) = A(−ξ) for ξ ∈ R; (1.1) for every t > 0, {ξ ∈ R : A(ξ) ≤ t} (1.2) is a compact set whose interior contains 0. Observe that A need not depend on the length |ξ| of ξ nor be the sum of functions of its components ξi, i = 1, . . . , n. The purpose of this note is to exhibit an inequality ...
متن کاملThe Steiner diameter of a graph
The Steiner distance of a graph, introduced by Chartrand, Oellermann, Tian and Zou in 1989, is a natural generalization of the concept of classical graph distance. For a connected graph $G$ of order at least $2$ and $Ssubseteq V(G)$, the Steiner distance $d(S)$ among the vertices of $S$ is the minimum size among all connected subgraphs whose vertex sets contain $S$. Let $...
متن کاملA Carleman Inequality for the Stationary Anisotropic Maxwell System
A Carleman estimate for the stationary anisotropic Maxwell system is established. Its proof adopts a technique pioneered by Calderón to an overdetermined systems with rough coefficients. As an application, the conditional stability of the Cauchy problem is discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of function spaces
سال: 2022
ISSN: ['2314-8896', '2314-8888']
DOI: https://doi.org/10.1155/2022/2989121