"Variational problem involving operator curl associated with $p$-curl s" by JUNICHI ARAMAKI

Turkish Journal of Mathematics

Article Title

Variational problem involving operator curl associated with $p$-curl system

Authors

DOI

10.3906/mat-1606-11

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.

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

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