On the J.L.Lions Lemma and Its Applications to the Maxwell-Stokes Type Problem and the Korn Inequality

• 作者: Junichi Aramaki
• 来源期刊: 数学研究通讯
• 年，卷（期）: 2021,（2）
• 页码范围: 209-235
• 页数: 27页
• 语种: 英文
• DOI: 10.4208/cmr.2020-0043

摘要

In this paper,we consider the equivalent conditions with Lp-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.