On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality
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@Article{CMR-37-209,
author = {Aramaki , Junichi},
title = {On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {37},
number = {2},
pages = {209--235},
abstract = {
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.
}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2020-0043}, url = {http://global-sci.org/intro/article_detail/cmr/18738.html} }
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.
Junichi Aramaki. (2021). On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality.
Communications in Mathematical Research . 37 (2).
209-235.
doi:10.4208/cmr.2020-0043
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