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 -
In this paper, we consider the equivalent conditions with $L^p$-version ($1 < p < ∞$) 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.