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arxiv: 1402.3110 · v1 · pith:O6GFKQGInew · submitted 2014-02-13 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords principlevariationalapplicationcapacitanceconductorelectricalarbitraryassume
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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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