Conformal deformation of metrics on subdomains of surfaces

DOI10.1007/BF02921803zbMath0840.35030MaRDI QIDQ1904558

Kanghui Guo, Shouchuan Hu

Publication date: 2 January 1996

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalitiesprescribed Gaussian curvaturedistribution of mass principle

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Blow-up analysis of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures ⋮ Prescribing the Gaussian curvature in a subdomain of \(\mathbb {S}^2\) with Neumann boundary condition ⋮ Nirenberg's problem on domains in the 2-sphere.

Cites Work

• Unnamed Item
• Gaussian curvature on singular surfaces
• Prescribing Gaussian curvatures on surfaces with conical singularities
• Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
• Curvature functions for compact 2-manifolds
• A Trudinger Inequality on Surfaces with Conical Singularities
• The isoperimetric inequality

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