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arXiv · 1505.02596

Constrained Gauss variational problem for condensers with touching plates

Natalia Zorii
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Abstract

We study a constrained minimum energy problem with an external field relative to the Riesz kernel of an arbitrary order for a generalized condenser with touching oppositely-charged plates. Conditions sufficient for the solvability of the problem are obtained. Our arguments are mainly based on the definition of an appropriate metric structure on a set of vector measures associated with a generalized condenser and the establishment of a completeness theorem for the corresponding metric space.

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Natalia Zorii. 2015-05-11. Constrained Gauss variational problem for condensers with touching plates. https://arxiv.org/abs/1505.02596

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