{ "id": "1402.3110", "version": "v1", "published": "2014-02-13T12:34:54.000Z", "updated": "2014-02-13T12:34:54.000Z", "title": "A variational principle and its application to estimating the electrical capacitance of a perfect conductor", "authors": [ "Alexander G. Ramm" ], "categories": [ "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v1", "updated": "2014-02-13T12:34:54.000Z" } ], "analyses": { "keywords": [ "variational principle", "electrical capacitance", "perfect conductor", "application", "estimating" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.3110R" } } }