Duality of capacities and Sobolev extendability in the plane

We reveal relations between the duality of capacities and the duality between Sobolev extendability of Jordan domains in the plane, and explain how to read the curve conditions involved in the Sobolev extendability of Jordan domains via the duality of capacities. Finally as an application, we give a...

Descripción completa

Detalles Bibliográficos
Autor principal: Zhang, Yi Ru-Ya
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7932497/
https://www.ncbi.nlm.nih.gov/pubmed/33748677
http://dx.doi.org/10.1007/s40627-021-00063-2
Descripción
Sumario:We reveal relations between the duality of capacities and the duality between Sobolev extendability of Jordan domains in the plane, and explain how to read the curve conditions involved in the Sobolev extendability of Jordan domains via the duality of capacities. Finally as an application, we give an alternative proof of the necessary condition for a Jordan planar domain to be [Formula: see text] -extension domain when [Formula: see text] .

Ejemplares similares