Constrained Gauss variational problem for condensers with touching plates
Classical Analysis and ODEs
2015-05-12 v1
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.
Keywords
Cite
@article{arxiv.1505.02596,
title = {Constrained Gauss variational problem for condensers with touching plates},
author = {Natalia Zorii},
journal= {arXiv preprint arXiv:1505.02596},
year = {2015}
}
Comments
14 pages