@Article{JMS-56-3,
author = {Junichi, Aramaki},
title = {A Remark on the J. L. Lions Lemma and Its Applications in a Variable Exponent Sobolev Space},
journal = {Journal of Mathematical Study},
year = {2023},
volume = {56},
number = {3},
pages = {291--308},
abstract = {<p style="text-align: justify;">In the author&#39;s previous paper, we considered the equivalent conditions with $W^{-m, p(\cdot )} $-version ($m\ge 0$ integer) of the J. L. Lions Lemma,&nbsp; where $p(\cdot)$ is a variable exponent.&nbsp; In this paper, we directly derive $W^{-m,p(\cdot)}$-version of the J. L. Lions Lemma. Therefore, we can use all of the equivalent conditions. As an application, we derive the generalized&nbsp; Korn inequality. Furthermore, we consider the relation to other fundamental results.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v56n3.23.03},
url = {https://global-sci.com/article/87627/a-remark-on-the-j-l-lions-lemma-and-its-applications-in-a-variable-exponent-sobolev-space}
}