Rough isometry and the asymptotic Dirichlet problem
The paper proposes a new asymptotic Dirichlet problem for harmonic functions via the rough isometry on a certain class of Riemannian manifolds. The authors define a suitable class of functions \({\mathcal F}_\varphi\) such that the Dirichlet problem is solvable for this class. The main theorem is a generalization of a result due to Schoen and Yau.
scientific article; zbMATH DE number 1268105