Some embeddings of weighted sobolev spaces on finite measure and quasibounded domains

Some embeddings of weighted sobolev spaces on finite measure and quasibounded domains

<p/> <p>We show that several of the classical Sobolev embedding theorems extend in the case of weighted Sobolev spaces to a class of quasibounded domains which properly include all bounded or finite measure domains when the weights have an arbitrarily weak singularity or degeneracy at th...

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Bibliographic Details
Main Author: Brown RC
Format: Article
Language:English
Published: SpringerOpen 1998-01-01
Series:Journal of Inequalities and Applications
Subjects:
Weighted Sobolev spaces
Continuous and compact embeddings
Regularity conditions
Minkowski dimension
Weighted Poincar&#233; inequalities
Online Access:http://www.journalofinequalitiesandapplications.com/content/2/685839

Internet

http://www.journalofinequalitiesandapplications.com/content/2/685839

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