宁夏大学学报(自然科学版)
寧夏大學學報(自然科學版)
저하대학학보(자연과학판)
2011年
1期
4-7
,共4页
非齐次障碍问题%很弱解%局部正则性
非齊次障礙問題%很弱解%跼部正則性
비제차장애문제%흔약해%국부정칙성
nonhomogeneous obstacle problems%very weak solutions%local regularity
研究了二阶非齐次椭圆方程的障碍问题,给出其很弱解的定义,并利用Hodge分解等工具得到障碍问题很弱解的局部正则性结果.
研究瞭二階非齊次橢圓方程的障礙問題,給齣其很弱解的定義,併利用Hodge分解等工具得到障礙問題很弱解的跼部正則性結果.
연구료이계비제차타원방정적장애문제,급출기흔약해적정의,병이용Hodge분해등공구득도장애문제흔약해적국부정칙성결과.
The obstacle problems for second order degenerate nonhomogeneous elliptic equation is studied and the definition of very weak solutions is given by using tools as Hodge decomposition. The higher integrability of the weak derivatives of the solutions is obtained.