Volume 32, Issue 1
Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain

Junichi Aramaki

J. Part. Diff. Eq., 32 (2019), pp. 1-19.

Published online: 2019-04

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35A05, 35A15, 35D05, 35D10, 35J20

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

aramaki@mail.dendai.ac.jp (Junichi Aramaki)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-32-1, author = {Aramaki , Junichi}, title = {Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain}, journal = {Journal of Partial Differential Equations}, year = {2019}, volume = {32}, number = {1}, pages = {1--19}, 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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v32.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/13119.html} }
TY - JOUR T1 - Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain AU - Aramaki , Junichi JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 19 PY - 2019 DA - 2019/04 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n1.1 UR - https://global-sci.org/intro/article_detail/jpde/13119.html KW - Regularity of a weak solution KW - variational problem KW - p-curl system. AB -

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.

Junichi Aramaki. (2019). Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain. Journal of Partial Differential Equations. 32 (1). 1-19. doi:10.4208/jpde.v32.n1.1
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