Existence of solutions to the Lichnerowicz equation: A new proof
From MaRDI portal
Publication:5056873
DOI10.1063/5.0050920OpenAlexW4221059253MaRDI QIDQ5056873
Publication date: 8 December 2022
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06381
Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Global Riemannian geometry, including pinching (53C20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A limit equation associated to the solvability of the vacuum Einstein constraint equations by using the conformal method
- A class of solutions of the vacuum Einstein constraint equations with freely specified mean curvature
- Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions
- Partial differential equations. III: Nonlinear equations.
- Elliptic partial differential equations of second order
- Yamabe classification and prescribed scalar curvature in the asymptotically Euclidean setting
- Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant
- A new point of view on the solutions to the Einstein constraint equations with arbitrary mean curvature and small TT-tensor
- Far-from-Constant Mean Curvature Solutions of Einstein’s Constraint Equations with Positive Yamabe Metrics
- Remarks on sublinear elliptic equations
- The Yamabe problem
- On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
- Solvability of the Equation Δ g u + ~ S u σ = Su on Manifolds
- Constant mean curvature solutions of the Einstein constraint equations on closed manifolds
- Courbures Scalaires Des Varietes D'Invariant Conforme Negatif
- ROUGH SOLUTIONS OF THE EINSTEIN CONSTRAINT EQUATIONS ON COMPACT MANIFOLDS
This page was built for publication: Existence of solutions to the Lichnerowicz equation: A new proof