Bounded solutions to the 1-Laplacian equation with a total variation term

In this paper we study the Dirichlet problem for two related equations involving the 1-Laplacian and a total variation term as reaction, namely: with homogeneous Dirichlet boundary conditions on ∂ Ω , where Ω is a regular, bounded domain in R N . Here f is a measurable function belonging to some sui...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Ricerche di matematica 2019-12, Vol.68 (2), p.597-614
Hauptverfasser:	Dall’Aglio, A., Segura de León, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Boundary conditions Continuity (mathematics) Dirichlet problem Geometry Laplace equation Mathematics Mathematics and Statistics Numerical Analysis Operators (mathematics) Probability Theory and Stochastic Processes
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!