On the conformal Gaussian curvature equation in \(\mathbb{R}^2\)

DOI10.1006/jdeq.1998.3424zbMath0911.35044OpenAlexW1998104535MaRDI QIDQ1265126

Kuo-Shung Cheng, Chang-Shou Lin

Publication date: 4 May 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3424

zbMATH Keywords

monotonicity propertytotal curvatureprescribing Gaussian curvaturebranch of solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

• On the structure of the conformal Gaussian curvature equation on \({\mathbb{R}}^ 2\)
• On the structure of the conformal Gaussian curvature equation on \(R^ 2\). II
• On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in \(\mathbb R^ 2\)
• On the Elliptic Equations Δu = K(x)u σ and Δu = K(x)e 2u
• Conformal Metrics with Prescribed Gaussian Curvature on S 2
• ON THE EQUATION Δu+k(x)e^u= 0
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