Abstract
In this paper we construct a Sobolev extension domain which, together with its complement, is topologically as nice as possible and yet not uniform. This shows that the well known implication that Uniform \(\Rightarrow\) Sobolev extension cannot be reversed under strongest possible topological conditions.
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Yang, S. A Sobolev Extension Domain That is Not Uniform. manuscripta math. 120, 241–251 (2006). https://doi.org/10.1007/s00229-006-0007-9
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DOI: https://doi.org/10.1007/s00229-006-0007-9