Metrics of constant curvature on a Riemann surface with two corners on the boundary

DOI10.1016/j.anihpc.2007.11.001zbMath1181.53034arXiv0712.3162OpenAlexW2080130280MaRDI QIDQ1012355

Guofang Wang, Chunqin Zhou, Juergen Jost

Publication date: 16 April 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3162

zbMATH Keywords

cornerconical singularitygeodesic curvatureGauss curvatureRiemannian surfaceLiouville equation

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (15)

Local and Nonlocal Singular Liouville Equations in Euclidean Spaces ⋮ The nonlocal Liouville-type equation in \(\mathbb {R}\) and conformal immersions of the disk with boundary singularities ⋮ A double mean field equation related to a curvature prescription problem ⋮ Profile of blow-up solutions to the exponential Neumann boundary value problem ⋮ The Liouville equation in an annulus ⋮ Singular metrics of constant negative \(Q\)-curvature in Euclidean spaces ⋮ Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures ⋮ The geometric Neumann problem for the Liouville equation ⋮ The boundary value problem for the super-Liouville equation ⋮ On the isolated singularities of the solutions of the Gaussian curvature equation for nonnegative curvature ⋮ Blow-up analysis for solutions to Neumann boundary value problem ⋮ Energy quantization for a singular super-Liouville boundary value problem ⋮ Quantization of the blow-up value for the Liouville equation with exponential Neumann boundary condition ⋮ Liouville type equation with exponential Neumann boundary condition and with singular data ⋮ The Liouville equation in a half-plane

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