A variational principle and its application to estimating the electrical capacitance of a perfect conductor

2014/02/13 by Alexander G. Ramm, Ramm, Alexander G.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1402.3110

arxiv created 2014/02/13 · arxiv updated 2014/02/14

Abstract

Assume that A is a bounded selfadjoint operator in a Hilbert space H. Then, the variational principle is obtained for some functional. As an application of this principle, a variational principle for the electrical capacitance of a conductor of an arbitrary shape is derived.

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