Einstein-Lichnerowicz type singular perturbations of critical nonlinear elliptic equations in dimension 3

DOI10.3934/dcds.2021069zbMath1475.35153OpenAlexW3156923273MaRDI QIDQ1983299

Bruno Premoselli

Publication date: 10 September 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021069

zbMATH Keywords

Einstein-Lichnerowicz equationblow-up for nonlinear elliptic critical PDEs

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) PDEs in connection with relativity and gravitational theory (35Q75) Blow-up in context of PDEs (35B44)

Cites Work

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• Bifurcating solutions of the Lichnerowicz equation
• Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• Non-compactness and infinite number of conformal initial data sets in high dimensions
• A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
• Conformal metrics with prescribed scalar curvature
• On the proof of the positive mass conjecture in general relativity
• Compactness and stability for nonlinear elliptic equations
• Effective multiplicity for the Einstein-scalar field Lichnerowicz equation
• Stability of the Einstein-Lichnerowicz constraint system
• Global aspects of the Cauchy problem in general relativity
• Initial data for rotating cosmologies
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
• Stability and Instability of the Einstein–Lichnerowicz Constraint System

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