Conformal Metrics and Scalar Curvature on Cylinders

DOI10.1080/03605309908820744zbMath0721.35016OpenAlexW2032716533MaRDI QIDQ5752912

Jeanne Trubek

Publication date: 1990

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908820744

zbMATH Keywords

existencescalar curvaturesuper solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Analyticity in context of PDEs (35A20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\)
• On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures
• Curvature functions for compact 2-manifolds
• Asymptotic Behavior of Solutions to Δu + Ku σ = 0 on R n for n ≥3

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