RIGIDITY OF MINIMIZERS IN NONLOCAL PHASE TRANSITIONS

被引：18
|
作者：
Savin, Ovidiu [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
ANALYSIS & PDE | 2018年 / 11卷 / 08期
关键词：
nonlocal phase transitions; De Giorgi conjecture; FLAT LEVEL SETS; NONLINEAR EQUATIONS; FRACTIONAL LAPLACIANS; REGULARITY; SYMMETRY;
D O I：
10.2140/apde.2018.11.1881
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain the classification of certain global bounded solutions for semilinear nonlocal equations of the type Delta(s)u = W' (u) in R-n,R- with s is an element of(1/2, 1), where W is a double-well potential.
引用
收藏
页码：1881 / 1900
页数：20
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