Photo from academic.microsoft.com
In this paper we classify all positive extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves divergent operators with degeneracy on the boundary. We… Click to show full abstract
In this paper we classify all positive extremal functions to a sharp weighted Sobolev inequality on the upper half space, which involves divergent operators with degeneracy on the boundary. We show that such a weighted Sobolev inequality can be used to derive a sharp Sobolev type inequality involving Baouendi-Grushin operator.
Keywords:
operator degeneracy;
sharp inequalities;
divergent operator;
degeneracy related;
related sharp;
operator
Journal Title: Journal of Functional Analysis
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Functional Analysis
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!