On the linearized Darboux equation arising in isometric embedding of the Alexandrov positive annulus

DOI10.1007/s11401-013-0770-3zbMath1275.53051OpenAlexW1969894063MaRDI QIDQ354171

Chunhe Li

Publication date: 18 July 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0770-3

zbMATH Keywords

solvabilityGauss-Codazzi systemAlexandrov's positive annulusDarboux equation

Mathematics Subject Classification ID

Global submanifolds (53C40) Rigidity results (53C24) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Cites Work

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• The analyticity of solutions to a class of degenerate elliptic equations
• On a linear equation arising in isometric embedding of torus-like surface
• The semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly