A problem involving competing and intrinsic operators

A problem involving competing and intrinsic operators

The main result establishes the existence of a solution in a generalized sense for a nonlinear Dirichlet problem driven by a competing operator and exhibiting a convection term composed with an intrinsic operator. A finite dimensional approximation is constructed. Applications regarding nonhomogeneo...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:São Paulo Journal of Mathematical Sciences 2024, Vol.18 (1), p.300-311
Hauptverfasser: Medeiros, Aldo H. S., Motreanu, Dumitru
Format: Artikel
Sprache:eng
Schlagworte:
Dirichlet problem
Mathematics
Mathematics and Statistics
Original Article
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The main result establishes the existence of a solution in a generalized sense for a nonlinear Dirichlet problem driven by a competing operator and exhibiting a convection term composed with an intrinsic operator. A finite dimensional approximation is constructed. Applications regarding nonhomogeneous Dirichlet problems and equations with convolution are given by choosing an adequate intrinsic operator.
ISSN:1982-6907
2316-9028
2306-9028
DOI:10.1007/s40863-024-00405-y