Critical Points of Solutions to Elliptic Equations in Planar Domains with Corners

被引：0
|
作者：
Arango, Jaime [1 ]
Delgado, Jairo [2 ]
机构：
[1] Univ Valle, Dept Matemat, Calle 13, Cali 10000, Colombia
[2] Univ Valle, Posgrad Ciencias Matemat, Cali 10000, Colombia
来源：
ANALYSIS, MODELLING, OPTIMIZATION, AND NUMERICAL TECHNIQUES | 2015年 / 121卷
关键词：
Critical points; Morse theory; Nonlinear elliptic equations; Moving planes;
D O I：
10.1007/978-3-319-12583-1_7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the solution u to a semilinear elliptic boundary value problem with Dirichlet boundary condition on an annular planar domain with corners. We prove that u possesses a finite number of critical points and at most one critical curve. For certain annular domains having a regular n-gon as an outer boundary, we rule out the existence of critical curves.
引用
收藏
页码：105 / 112
页数：8
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