Jani Onninen and Pekka Pankka
Abstract: We examine mappings of finite distortion from Euclidean spaces into Riemannian manifolds. We use integral type isoperimetric inequalities to obtain Liouville type growth results under mild assumptions on the distortion of the mappings and the geometry of the manifolds.
Journal: Math. Ann. 354 (2012), no. 2, 685-705.
DOI: 10.1007/s00208-011-0751-3