Local Estimates of Singular Solution to Gaussian Curvature Equation

Authors

  • Yunyan Yang

Keywords:

Singular solution;semi-linear elliptic equation;moving planes

Abstract

" In this paper, we derive the local estimates of a singular solution near its singular set Z of the Gaussian curvature equation \u0394u(x) + K(x)e^{u(x)} = 0 in \u03a9 \\ Z, in the case that K(x) may be zero on Z, where \u03a9 \u2282 R\u00b2 is a bounded open domain, and Z is a set of finite points."

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Published

2003-05-02

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Issue

Vol. 16 No. 2 (2003)

Section

Articles

How to Cite

Local Estimates of Singular Solution to Gaussian Curvature Equation. (2003). Journal of Partial Differential Equations, 16(2), 169-185. https://global-sci.com/index.php/jpde/article/view/14879