The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point

Details The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point

2008-01-18

arxiv.org/abs/0801.2866v1

Math. Proc. Cambridge Phil. Soc. 145, 643-667, 2008

Mathematics

Analysis of PDEs

Scientific paper

10.1017/S0305004108001618

A classical result of Nitsche \cite{Nit57} about the behaviour of the solutions to the Liouville equation $\Delta u=4 e^{2u}$ near isolated singularities is generalized to solutions of the Gaussian curvature equation $\Delta u=- \kappa(z) e^{2u}$ where $\kappa$ is a negative H\"older continuous function. As an application a higher--order version of the Yau--Ahlfors--Schwarz lemma for complete conformal Riemannian metrics is obtained.

Affiliated with

Also associated with

No associations

Rating

The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The behaviour of solutions of the Gaussian curvature equation near an isolated boundary point will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-691151