TY - JOUR T1 - Local Estimates of Singular Solution to Gaussian Curvature Equation JO - Journal of Partial Differential Equations VL - 2 SP - 169 EP - 185 PY - 2003 DA - 2003/05 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5415.html KW - Singular solution KW - semi-linear elliptic equation KW - moving planes AB - 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.