湖州师范学院学报
湖州師範學院學報
호주사범학원학보
JOURNAL OF HUZHOU TEACHERS COLLEGE
2007年
2期
3-6
,共4页
变分积分极小%Muckenhoupt权%正则性
變分積分極小%Muckenhoupt權%正則性
변분적분겁소%Muckenhoupt권%정칙성
minima of variational integral%Muckenhoupt weight%regularity
研究被积函数具有Muckenhoupt权的增长条件的变分积分的极小点的正则性.利用加权逆H(o)lder不等式获得了如下一个正则性结果:存在p1＞p,对任一局部极小u∈w1,ploc(Ω,w)都有w1,p1loc(Ω,w).
研究被積函數具有Muckenhoupt權的增長條件的變分積分的極小點的正則性.利用加權逆H(o)lder不等式穫得瞭如下一箇正則性結果:存在p1＞p,對任一跼部極小u∈w1,ploc(Ω,w)都有w1,p1loc(Ω,w).
연구피적함수구유Muckenhoupt권적증장조건적변분적분적겁소점적정칙성.이용가권역H(o)lder불등식획득료여하일개정칙성결과:존재p1＞p,대임일국부겁소u∈w1,ploc(Ω,w)도유w1,p1loc(Ω,w).
The research shows that the regularity for the minima of variational integrals with the integrand satisfies the growth conditions of Muckenhoupt weight and by making use of the reverse H(o)lder inequality with weight we can obtain such a regularity result:there exists p1＞p,such that local minima u∈w1,p1loc(Ω,w) whenever there is w1,ploc(Ω,w).
