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 - <p>We consider the existence and regularity of a weak solution to a class of
systems containing a <em>p</em>-curl system in a multi-connected domain. This paper extends
the result of the regularity theory for a class containing a <em>p</em>-curl system that is given in
the author’s previous paper. The optimal C<sup>1+α</sup>-regularity of a weak solution is shown
in a multi-connected domain.</p>