A nonlinear elliptic boundary value problem relevant in general relativity and in the theory of electrical heating of conductors

DOI10.1007/s40574-017-0121-5zbMath1394.83002OpenAlexW2602778518WikidataQ125998516 ScholiaQ125998516MaRDI QIDQ724184

Giovanni Cimatti

Publication date: 25 July 2018

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-017-0121-5

zbMATH Keywords

general relativityexistence and uniqueness of solutionsaxially symmetric gravitational fieldsWeyl-Lewis-Papapetrou coordinates

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Electromagnetic theory (general) (78A25) Exact solutions to problems in general relativity and gravitational theory (83C15)

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Cites Work

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• The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
• Some special solutions of the equations of axially symmetric gravitational fields
• Eine rotationssymmetrische Lösung in der allgemeinen Relativitätstheorie

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