Turkish Journal of Mathematics
Abstract
We shall study the problem of minimizing a functional involving curl of vector fields in a three-dimensional, bounded multiconnected domain with the prescribed tangent component of a given vector field on the boundary. It will be seen that the minimizers are weak solutions of the $p$-curl type system. We shall prove the existence and the estimate of minimizers of a more general functional that contains the $L^p$ norm of the curl of vector fields. We shall also give the continuity with respect to the given data.
DOI
10.3906/mat-1606-11
Keywords
Variational problem, $p$-curl system, multiconnected domain
First Page
949
Last Page
966
Recommended Citation
ARAMAKI, JUNICHI
(2018)
"Variational problem involving operator curl associated with $p$-curl system,"
Turkish Journal of Mathematics: Vol. 42:
No.
3, Article 18.
https://doi.org/10.3906/mat-1606-11
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss3/18
