Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampere equations

被引：2

作者：

Cianchi, Andrea ^{[1
]}

Salani, Paolo ^{[1
]}

机构：

[1] Univ Firenze, Dipartimento Matemat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2023年 / 285卷 / 09期

关键词：

Anisotropic Monge-Ampere equation; Overdetermined boundary conditions; Symmetry of solutions; Wulff shape; PARTIAL REGULARITY; SYMMETRIZATION; DEGENERATE;

D O I：

10.1016/j.jfa.2023.110091

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with Monge-Ampere type equations modeled upon general Finsler norms H in Rn. An overdetermined problem for convex solutions to these equations is analyzed. The relevant solutions are subject to both a homogeneous Dirichlet condition and a second boundary condition, designed on H, on the gradient image of the domain. The Wulff shape symmetry associated with H of the solutions is established. & COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：21