On the J.L. Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality
Year: 2021
Author: Junichi Aramaki
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2020-0043
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 209–235
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: J.L. Lions lemma de Rham theorem Maxwell-Stokes type problem multiply-connected domain.