Liouville type theorems for mappings with bounded (co)-distortion

DOI10.5802/aif.1933zbMath1019.30022OpenAlexW3382305MaRDI QIDQ1864235

Sergei Vodop'yanov, Marc Troyanov

Publication date: 17 March 2003

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_6_1753_0

zbMATH Keywords

capacityLiouville type theoremRiemannian manifoldsmapping with bounded distortionparabolicity

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Implicit function theorems, Jacobians, transformations with several variables (26B10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (13)

Unnamed Item ⋮ On the branch points of mappings with the unbounded coefficient of quasiconformality ⋮ Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion ⋮ Mappings with bounded \((P,Q)\)-distortion on Carnot groups ⋮ On the regularity of the Poletskii function under weak analytic assumptions on the given mapping ⋮ Mappings of finite codistortion and Sobolev classes of functions ⋮ On the convergence of mappings with k-finite distortion. ⋮ Differentiability of mappings of the Sobolev space \(W_{n-1}^1\) with conditions on the distortion function ⋮ Basics of the quasiconformal analysis of a two-index scale of spatial mappings ⋮ \(q\)-parabolicity of stratified pseudomanifolds and other singular spaces ⋮ On the local behavior of mappings with unbounded quasiconformality coefficient ⋮ Isomorphisms of Sobolev spaces on Riemannian manifolds and quasiconformal mappings ⋮ Moduli inequalities for W¹_n-1,loc-mappings with weighted bounded (q, p)-distortion

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