TY - JOUR
T1 - On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality
AU - Aramaki , Junichi
JO - Communications in Mathematical Research 
VL - 2
SP - 209
EP - 235
PY - 2021
DA - 2021/04
SN - 37
DO - http://doi.org/10.4208/cmr.2020-0043
UR - https://global-sci.org/intro/article_detail/cmr/18738.html
KW - J.L. Lions lemma, de Rham theorem, Maxwell-Stokes type problem, multiply-connected domain.
AB - <p style="text-align: justify;">In this paper, we consider the equivalent conditions with $L^p$-version
($1 &lt; p &lt; ∞$) of the J.L. Lions lemma. As applications, we first derive the existence of a weak solution to the Maxwell-Stokes type problem and then we
consider the Korn inequality. Furthermore, we consider the relation to other
fundamental results.</p>