Local Estimates of Singular Solution to Gaussian Curvature Equation

Local Estimates of Singular Solution to Gaussian Curvature Equation

Year:    2003

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 2 : pp. 169–185

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JPDE-5415

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 2 : pp. 169–185

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Singular solution