A Sobolev extension domain that is not uniform

DOI10.1007/s00229-006-0007-9zbMath1110.46025OpenAlexW2075775614MaRDI QIDQ2502198

Shanshuang Yang

Publication date: 12 September 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-006-0007-9

zbMATH Keywords

Sobolev spaceslinear extension operatoruniform domainsextendability of differentiable functions

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)

Related Items (6)

Elliptic and parabolic regularity for second- order divergence operators with mixed boundary conditions ⋮ Uniformity and Loewner condtions of metric spaces ⋮ A quasi-linear Neumann problem of Ambrosetti-Prodi type on extension domains ⋮ Duality, uniformity, and linear local connectivity ⋮ Global regularity for a class of quasi-linear local and nonlocal elliptic equations on extension domains ⋮ Hardy's inequality for functions vanishing on a part of the boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Quasimöbius maps
• Quasiextremal distance domains and extension of quasiconformal mappings
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Quasiconformal maps in metric spaces with controlled geometry
• Extensions and imbeddings
• Uniform, Sobolev extension and quasiconformal circle domains
• Uniform and Sobolev Extension Domains

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