非线性椭圆障碍问题很弱解的全局可积性  

Global Integrability of Very Weak Solution to the Nonlinear Elliptic Obstacle Problem

作　　者：佟玉霞 杨雅琦 周艳霞 TONG Yuxia;YANG Yaqi;ZHOU Yanxia(College of Science,North China University of Science and Technology,Tangshan 063210,China)

机构地区：[1]华北理工大学理学院,河北唐山063210

出　　处：《应用数学》2021年第1期98-106,共9页Mathematica Applicata

基　　金：河北省社会科学基金(HB17YJ094)。

摘　　要：本文研究一类非线性椭圆方程的Kψ,θr(Ω)-障碍问题很弱解u的全局可积性,其中u的可积指数r满足max{1,p-1} r,则上述问题的很弱解u具有全局可积性,这里r充分接近p.This paper is devoted to the global integrability of very weak solution u to the Kψ,θr(Ω)-obstacle problem of a class of nonlinear elliptic equation,max{1,p-1} r,then we prove that the very weak solution u for the above-mentioned problem is integrable provided that r is sufficiently close to p.

关 键 词：可积性 很弱解 障碍问题 

分 类 号：O175.25[理学—数学]