On the isolated singularities of the solutions of the Gaussian curvature equation for nonnegative curvature

Details On the isolated singularities of the solutions of the Gaussian curvature equation for nonnegative curvature On the isolated singularities of the solutions of the Gaussian curvature equation for nonnegative curvature

2008-04-24

arxiv.org/abs/0804.3855v2

J. Math. Anal. Appl. 345 No. 2, 628-631, 2008

Mathematics

Analysis of PDEs

Scientific paper

The precise asymptotic behaviour of the solutions to the twodimensional
curvature equation $\Delta u=k(z) e^{2 u}$ with $e^{2 u} \in L^1$ for bounded
nonnegative curvature functions $-k(z)$ near isolated singularities is
obtained.

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