变指数Sobolev空间中与J.L.Lions引理的等价关系及其应用

IF 0.8 4区数学

数学研究 Pub Date : 2022-06-01 DOI:10.4208/jms.v55n3.22.05

J. Aramaki

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引用次数: 1

摘要

．我们考虑了J. L. Lions引理的W−m, p(·)版本的等价条件，其中p(·)是满足某些条件的可变指数。作为m = 0的应用，我们首先推导了Korn不等式，并进一步考虑了它与其他基本结果的关系。本文的目的之一是应用于麦克斯韦-斯托克斯型问题弱解的存在性。

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Equivalent Relations with the J. L. Lions Lemma in a Variable Exponent Sobolev Space and Their Applications

. We consider the equivalent conditions with W − m , p ( · ) -version of the J. L. Lions Lemma, where p ( · ) is a variable exponent satisfying some condition. As applications with m = 0, we ﬁrst derive the Korn inequality and furthermore, we consider the relation to other fundamental results. One of the purpose of this paper is an application to the existence of a weak solution for the Maxwell-Stokes type problem.

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来源期刊

数学研究 MATHEMATICS-

自引率

0.00%

发文量

1109

期刊介绍： Journal of Mathematical Study (JMS) is a comprehensive mathematical journal published jointly by Global Science Press and Xiamen University. It publishes original research and survey papers, in English, of high scientific value in all major fields of mathematics, including pure mathematics, applied mathematics, operational research, and computational mathematics.