无相边界问题的非齐次全局极小化

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2021-06-28 DOI:10.1080/03605302.2022.2051187

D. De Silva, D. Jerison, H. Shahgholian

引用次数: 6

摘要

摘要给定Alt-Caffarelli能量泛函的全局1-齐次极小子U 0，我们提供了半空间的叶理，其中全局极小子的图在距离原点1处具有解析自由边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Inhomogeneous global minimizers to the one-phase free boundary problem

Abstract Given a global 1-homogeneous minimizer U 0 to the Alt-Caffarelli energy functional, with we provide a foliation of the half-space with dilations of graphs of global minimizers with analytic free boundaries at distance 1 from the origin.

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来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.