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
收藏
页码：49 / 56
页数：8
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