A boundary value problem for a nonlinear elliptic system relevant in general relativity

DOI10.1007/BF03377403zbMath1382.35300OpenAlexW2572311440WikidataQ125599446 ScholiaQ125599446MaRDI QIDQ1691844

Giovanni Cimatti

Publication date: 25 January 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03377403

zbMATH Keywords

boundary value problemexistence and uniqueness of solutionsaxially symmetric gravitational fields

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Equations of motion in general relativity and gravitational theory (83C10) Einstein equations (35Q76) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

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

Cites Work

• Some special solutions of the equations of axially symmetric gravitational fields
• Exact Solutions of Einstein's Field Equations
• Eine rotationssymmetrische Lösung in der allgemeinen Relativitätstheorie
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