The Loewner-Nirenberg problem in cones

DOI10.1016/j.jfa.2024.110566zbMATH Open1547.35364MaRDI QIDQ6585649

Qing Han, Xumin Jiang, Weiming Shen

Publication date: 12 August 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorLoewner-Nirenberg problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order elliptic equations (35J15) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary
• Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
• On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem
• Boundary behavior in the Loewner-Nirenberg problem
• On the negativity of Ricci curvatures of complete conformal metrics
• Boundary expansion for the Loewner-Nirenberg problem in domains with conic singularities
• The Loewner-Nirenberg problem in singular domains
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Complete Conformal Metrics of Negative Ricci Curvature on Compact Manifolds with Boundary
• On a problem of Bieberbach and Rademacher
• Asymptotic Expansions of Solutions of the Yamabe Equation and the σ_k‐Yamabe Equation near Isolated Singular Points

Related Items (1)

Asymptotic behavior of complete conformal metric near singular boundary

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