On very weak solutions to a class of double obstacle problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:402

Article

Bao, Gejun¹  Wang, Tingting¹  Li, Guanfeng¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

关键词: Uniqueness and existence;    Very weak solutions;    Double obstacle problems;    Hodge decomposition;   

DOI  :  10.1016/j.jmaa.2013.01.065

来源: Elsevier

【 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.

【 授权许可】

Free