@Article{JMS-55-281,
author = {Aramaki , Junichi},
title = {Equivalent Relations with the J. L. Lions Lemma in a Variable Exponent Sobolev Space and Their Applications},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {3},
pages = {281--305},
abstract = {<p style="text-align: justify;">We consider the equivalent conditions with $W^{-m, p(\cdot )} $-version of the J. L. Lions Lemma, where $p(\cdot )$ is a variable exponent satisfying some condition. As applications with $m=0$, we first derive the Korn inequality and furthermore, we consider the relation to other fundamental results. One of the purpose of this paper is an application to the existence of a weak solution for the Maxwell-Stokes type problem.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n3.22.05},
url = {http://global-sci.org/intro/article_detail/jms/20977.html}
}