@Article{CMR-37-2, author = {Junichi, Aramaki}, 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 = {https://global-sci.com/article/81506/on-the-jl-lions-lemma-and-its-applications-to-the-maxwell-stokes-type-problem-and-the-korn-inequality} }