Sharp regularity for singular obstacle problems

被引：1
|
作者：
Araujo, Damiao J. [1 ]
Teymurazyan, Rafayel [2 ]
Voskanyan, Vardan [2 ]
机构：
[1] Univ Fed Paraiba, Dept Math, UFPB, BR-58059900 Joao Pessoa, Paraiba, Brazil
[2] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal
来源：
MATHEMATISCHE ANNALEN | 2023年 / 387卷 / 3-4期
关键词：
FREE-BOUNDARY; MINIMUM PROBLEM;
D O I：
10.1007/s00208-022-02496-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain sharp local C-1,C-alpha regularity of solutions for singular obstacle problems, Euler-Lagrange equation of which is given by Delta p(u) = gamma (u - phi)(gamma-1) in {u >phi}, for 0 < gamma < 1 and p >= 2. At the free boundary partial derivative{u > phi}, we prove optimal C1,tau regularity of solutions, with tau given explicitly in terms of p,gamma and smoothness of phi, which is new even in the linear setting.
引用
收藏
页码：1367 / 1401
页数：35
相关论文
共 50 条
12345