Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion

DOI10.1134/S0037446615020056zbMath1341.30016MaRDI QIDQ901901

Alekseĭ N. Baykin, Sergei Vodop'yanov

Publication date: 6 January 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

bounded distortionquasiconformal mappingsfinite distortionremovable singularities

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (13)

Asymptotic curves and asymptotic values for mappings with weighted bounded \((p,q)\)-distortion ⋮ Unnamed Item ⋮ Foundations of quasiconformal analysis of a two-index scale of spatial mappings ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ 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 ⋮ Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ A version of Schwarz's lemma for mappings with weighted bounded distortion ⋮ Moduli inequalities for W¹_n-1,loc-mappings with weighted bounded (q, p)-distortion ⋮ Modulus inequalities for mappings with weighted bounded \((p,q)\)-distortion

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