Gradient Estimates in Fractional Dirichlet Problems

We obtain some fine gradient estimates near the boundary for solutions to fractional elliptic problems subject to exterior Dirichlet boundary conditions. Our results provide, in particular, the sign of the normal derivative of such solutions near the boundary of the underlying domain.

Bibliographische Detailangaben

Veröffentlicht in:	Potential analysis 2021-04, Vol.54 (4), p.627-636
Hauptverfasser:	Fall, Mouhamed Moustapha, Jarohs, Sven
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Dirichlet problem Functional Analysis Geometry Mathematics Mathematics and Statistics Potential Theory Probability Theory and Stochastic Processes
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!