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Liouville-type theorems for conformal Gaussian curvature equations in \(\mathbb R^2\).

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Publication:1566017
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DOI10.1007/S10114-002-0227-1zbMath1137.53306OpenAlexW2331967840MaRDI QIDQ1566017

Yun Yan Yang

Publication date: 27 May 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0227-1


zbMATH Keywords

Gaussian curvatureTotal curvatureObata-type identity


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60)





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
  • Liouville-type theorems for semilinear elliptic equations involving the Sobolev exponent
  • On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in \(\mathbb R^ 2\)
  • Global and local behavior of positive solutions of nonlinear elliptic equations




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