Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion

DOI10.4171/RLM/548zbMath1178.30026OpenAlexW2035814533WikidataQ110085432 ScholiaQ110085432MaRDI QIDQ1039873

Albert Clop, Pekka Koskela

Publication date: 23 November 2009

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=20&iss=4&rank=1

zbMATH Keywords

mappings of finite distortionhigher integrabilitysubexponential distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Degenerate elliptic equations (35J70) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (5)

Bisobolev mappings and homeomorphisms with finite distortion ⋮ Planar mappings of finite distortion ⋮ Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains ⋮ A version of Gehring lemma in Orlicz spaces ⋮ Mappings with subexponentially integrable distortion: modulus of continuity, and distortion of Hausdorff measure and Minkowski content

Cites Work

• Mappings of finite distortion: the degree of regularity
• Regularity of mappings of finite distortion
• Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
• Area distortion of quasiconformal mappings
• Mappings of BMO-distortion and Beltrami-type operators
• Mappings of finite distortion: removable singularities
• Mappings of \(BMO\)-bounded distortion
• A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids
• Quasiregular mappings in even dimensions
• Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular
• Mappings of finite distortion: sharp Orlicz-conditions
• \(p\)-harmonic tensors and quasiregular mappings
• Mappings of finite distortion: discreteness and openness for quasi-light mappings
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• A note on mappings of finite distortion: the sharp modules of continuity
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• MAPPINGS OF FINITE DISTORTION: $L^n \log^{\alpha} L$ -INTEGRABILITY
• A short proof of the self-improving regularity of quasiregular mappings
• Mappings of finite distortion: Monotonicity and continuity
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Orlicz-Sobolev regularity of mappings with subexponentially integrable distortion