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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… Click to show full abstract
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 norm of the curl of vector fields. We shall also give the continuity with respect to the given data.
Journal Title: Turkish Journal of Mathematics
Year Published: 2018
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