Differentiability in the Sobolev space \(W^{1,n-1}\)

DOI10.1007/s00526-013-0679-4zbMath1305.26030OpenAlexW611634680WikidataQ109744215 ScholiaQ109744215MaRDI QIDQ406691

Ville Tengvall

Publication date: 9 September 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-013-0679-4

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10) Measures and integrals in product spaces (28A35)

Related Items (14)

Foundations of quasiconformal analysis of a two-index scale of spatial mappings ⋮ Absolute continuity in higher dimensions ⋮ Mappings of finite distortion: size of the branch set ⋮ On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ Regularity of the inverse of a homeomorphism with finite inner 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 ⋮ Mappings of finite inner distortion: global homeomorphism theorem ⋮ Absolute continuity on paths of spatial open discrete mappings ⋮ Lower semicontinuity of mappings with bounded \((\theta, 1)\)-weighted \((p,q)\)-distortion ⋮ To the theory of mappings of the Sobolev class with the critical index ⋮ Moduli inequalities for W¹_n-1,loc-mappings with weighted bounded (q, p)-distortion ⋮ On Poleckii-type modular inequalities

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