变分泛函的半连续性问题  

Semicontinuity Problems in the Calculus of Variations

作　　者：付永强[1] 吴从炘[1] 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150001

出　　处：《应用泛函分析学报》2000年第3期276-283,共8页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金资助项目

摘　　要：研究了非多项式增长的变分泛函 ,利用 Orlicz空间理论 ,得到了其在 Orlicz-Sobolev空间中弱序列下半连续的充要条件 。In this paper, variational problems with nonpolynomial growth are studied by means of Orlicz space theory. The necessarity and sufficiency condition of weakly sequential semicontinuity for variational integrals are obtained in the setting of Orlicz\|Sobolev space, which generalizes the corresponding results for variational problems with polynomial growth.

关 键 词：变分泛函 下半连续 拟凸 ORLICZ-SOBOLEV空间 

分 类 号：O177[理学—数学]