Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain

Authors

  • Junichi Aramaki Division of Science, Faculty of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Saitama, 350-0394, Japan

DOI:

https://doi.org/10.4208/jpde.v32.n1.1

Keywords:

Regularity of a weak solution;variational problem;p-curl system.

Abstract

We consider the existence and regularity of a weak solution to a class of systems containing a p-curl system in a multi-connected domain. This paper extends the result of the regularity theory for a class containing a p-curl system that is given in the author’s previous paper. The optimal C1+α-regularity of a weak solution is shown in a multi-connected domain.

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Published

2019-04-12

Issue

Vol. 32 No. 1 (2019)

Section

Articles

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