Elliptic equation with singular terms on Riemannian manifold

DOI10.1007/s11005-006-0138-7zbMath1123.58010OpenAlexW2071349032WikidataQ115381928 ScholiaQ115381928MaRDI QIDQ2370077

Przemysław Górka

Publication date: 21 June 2007

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-006-0138-7

zbMATH Keywords

Lichnerowicz equationsingular elliptic equationconstraints in general relativity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Cites Work

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• Global solutions of the Lichnerowicz equation in general relativity on an asymptotically Euclidean complete manifold
• Elliptic partial differential equations of second order
• Sobolev spaces on Riemannian manifolds
• Uniqueness and a priori estimates for some nonlinear elliptic Neumann equations in \(\mathbb R^3\)
• Global aspects of the Cauchy problem in general relativity
• L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
• Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity

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