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.
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J. Onninen was supported by the NSF grant DMS-1001620 and by the Academy of Finland. P. Pankka was supported by the NSF grants DMS-0652915 and DMS-0757732 and by the Academy of Finland project 126836.
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Onninen, J., Pankka, P. Slow mappings of finite distortion. Math. Ann. 354, 685–705 (2012). https://doi.org/10.1007/s00208-011-0751-3
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DOI: https://doi.org/10.1007/s00208-011-0751-3