Volume 16, Issue 2
Local Estimates of Singular Solution to Gaussian Curvature Equation

Yunyan Yang

J. Part. Diff. Eq., 16 (2003), pp. 169-185.

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  • Abstract

In this paper, we derive the local estimates of a singular solution near its singular set Z of the Gaussian curvature equation Δu(x) + K(x)e^{u(x)} = 0 in Ω \ Z, in the case that K(x) may be zero on Z, where Ω ⊂ R² is a bounded open domain, and Z is a set of finite points.

  • History

Published online: 2003-05

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