On boundary behavior of mappings of Sobolev and Orlicz--Sobolev class
classification
🧮 math.CV
keywords
boundarymappingsbehaviorcontinuousextensionorlicz--sobolevpointsobolev
read the original abstract
A boundary behavior of closed open discrete mappings of Sobolev and Orlicz--Sobolev classes in ${\Bbb R}^n,$ $n\ge 3,$ is studied. It is proved that, mappings mentioned above have a continuous extension to boundary point $x_0$ of a domain $D$ whenever its inner dilatation of order $p$ has a majorant $FMO$ (finite mean oscillation) at the point. Another sufficient condition of possibility of continuous extension is a divergence of some integral.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.