Concavity properties for elliptic free boundary problems

被引：13

作者：

Bianchini, Chiara ^{[1
]}

Salani, Paolo ^{[1
]}

机构：

[1] Univ Florence, Dip Matemat U Dini, I-50134 Florence, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 10期

关键词：

Bernoulli problem; Bernoulli constant; Brunn-Minkowski inequality; Urysohn inequality; Concavity; BRUNN-MINKOWSKI INEQUALITY; P-LAPLACE OPERATOR; CLASSICAL-SOLUTIONS; CONVEX; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.na.2009.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some concavity properties connected to nonlinear Bernoulli type free boundary problems. In particular, we prove a Brunn-Minkowski inequality and an Urysohn's type inequality for the Bernoulli Constant and we study the behavior of the free boundary with respect to the given boundary data. Moreover we prove a uniqueness result regarding the interior problem. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4461 / 4470

页数：10

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