@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} }