Optimal estimate for the gradient of Green functions on degenerating surfaces and applications
Differential Geometry
2013-07-23 v1 Analysis of PDEs
Abstract
In this paper we prove a uniform estimate for the gradient of the Green function on a closed Riemann surface, independent of its conformal class, and we derive compactness results for immersions with L2-bounded second fundamental form and for riemannian surfaces of uniformly bounded gaussian curvature entropy.
Keywords
Cite
@article{arxiv.1307.5425,
title = {Optimal estimate for the gradient of Green functions on degenerating surfaces and applications},
author = {Paul Laurain and Tristan Rivière},
journal= {arXiv preprint arXiv:1307.5425},
year = {2013}
}