The Einstein-scalar field Lichnerowicz equations on graphs

DOI10.1007/S00526-024-02737-1zbMATH Open1547.3571MaRDI QIDQ6554686

Yong Liu, Chunhua Wang, Wen Yang, Leilei Cui, Jun Wang

Publication date: 13 June 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

topological degree theoryheat-flow method

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• Title not available (Why is that?)
• Heat flow method for Lichnerowicz type equations on closed manifolds
• Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• Kazdan-Warner equation on graph
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• Stability and multiple solutions to Einstein-scalar field Lichnerowicz equation on manifolds
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• Multiple solutions of Kazdan-Warner equation on graphs in the negative case
• Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds in the null case
• Effective multiplicity for the Einstein-scalar field Lichnerowicz equation
• The Einstein-scalar field constraints on asymptotically Euclidean manifolds
• L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
• Brouwer degree for Kazdan-Warner equations on a connected finite graph
• The constraint equations for the Einstein-scalar field system on compact manifolds
• Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
• Variational Methods
• Methods in Nonlinear Analysis
• Topological degree for Chern-Simons Higgs models on finite graphs

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