Global Integrability for Solutions to Obstacle Problems

作     者：SHAN Yanan GAO Hongya SHAN Yanan;GAO Hongya

作者机构：Hebei Key Laboratory of Machine Learning and Computational IntelligenceCollege of Mathematics and Information ScienceHebei UniversityBaoding 071002China 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2022年第35卷第4期

页      面：320-330页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Postgraduate Innovation Project of Hebei Province(No.CXZZSS2020005) the second author was supported by NSFC(No.12071021),NSF of Hebei Province(No.A2019201120) 

主　　题：Global integrability obstacle problem A-harmonic equation 

摘      要：DenoteκψØ(Ω)={υ∈w1,p(Ω):υ≥ψ,a,***υ-Ø∈w1,po(Ω)},where is any function in Q C R^(N),N≥2,with values in RU[±∞]and e is a measurable *** paper deals with global integrability for u E Kμ,e such that∫Ω﹤Α(χ,▽υ),▽(w-u)﹥dx≥∫Ω﹤f,▽(w-u)dx,■w∈■ψØ(Ω),with/A■≈|■|^(p-1),1p*** global integrability results are obtained.