On very weak solutions to a class of double obstacle problems

被引：5
|
作者：
Bao, Gejun [1 ]
Wang, Tingting [1 ]
Li, Guanfeng [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 402卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Uniqueness and existence; Very weak solutions; Double obstacle problems; Hodge decomposition; INTEGRABILITY; STABILITY;
D O I：
10.1016/j.jmaa.2013.01.065
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the uniqueness of very weak solutions by Hodge decomposition and obtain the existence by an approximation argument. Moreover, we prove that the solution quasiminimizes the r-Dirichlet integral in K-phi,psi(r,0) (Omega), and finally the stability of very weak solutions is established for varying obstacle functions. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：702 / 709
页数：8
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