Starshapedness of level sets for solutions of nonlinear elliptic equations

被引：4

作者：

Francini, E ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Matemat Ulisse Dini, I-50134 Florence, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 1998年 / 193卷

关键词：

starshapedness; maximum principle;

D O I：

10.1002/mana.19981930106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a measure for the starshapedness of the level sets of solutions of certain nonlinear elliptic equations in a starshaped ring Omega of IRn. We prove that a function which characterizes the starshapedness does not attain its minimum in Omega.

引用

页码：49 / 56

页数：8

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