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Minimizing the Lp norm of the curl of vector fields in a multi-connected domain

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We study the problem of minimizing the Lp norm of the curl of vector fields in a three-dimensional, bounded multi-connected domain with a prescribed tangential component on the boundary. We… Click to show full abstract

We study the problem of minimizing the Lp norm of the curl of vector fields in a three-dimensional, bounded multi-connected domain with a prescribed tangential component on the boundary. We then prove the existence of minimizers and estimate them.

Keywords: curl vector; connected domain; norm curl; multi connected; minimizing norm; vector fields

Journal Title: International Journal of Mathematics
Year Published: 2017

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