A Remark on the J.L.Lions Lemma and its Applications in a Variable Exponent Sobolev Space  

作　　者：Junichi Aramaki 

机构地区：[1]Division of Science,Tokyo Denki University,Hatoyama-machi,Saitama 350-0394,Japan

出　　处：《Journal of Mathematical Study》2023年第3期291-308,共18页数学研究（英文）

摘　　要：In the author’s previous paper,we considered the equivalent conditions with W^(−m,p(·))-version(m≥0 integer)of the J.L.Lions Lemma,where p(·)is a variable exponent.In this paper,we directly derive W−m,p(·)-version of the J.L.Lions Lemma.Therefore,we can use all of the equivalent conditions.As an application,we derive the generalized Korn inequality.Furthermore,we consider the relation to other fundamental results.

关 键 词：J.L.Lions Lemma de Rham Theorem Korn inequality variable exponent Sobolev spaces 

分 类 号：O17[理学—数学]