Asymptotic Dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds
Differential Geometry
2019-10-10 v2
Abstract
We study the asymptotic Dirichlet problem for A-harmonic equations and for the minimal graph equation on a Cartan-Hadamard manifold M whose sectional curvatures are bounded from below and above by certain functions depending on the distance to a fixed point in M. We are, in particular, interested in finding optimal (or close to optimal) curvature upper bounds.
Keywords
Cite
@article{arxiv.1501.05249,
title = {Asymptotic Dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds},
author = {Jean-Baptiste Casteras and Ilkka Holopainen and Jaime B. Ripoll},
journal= {arXiv preprint arXiv:1501.05249},
year = {2019}
}
Comments
To appear in Communications in Analysis and Geometry