A local boundedness result for a class of obstacle problems with non-standard growth conditions

We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able to establish the local boundedness under a sharp bound on the gap between the growth exponents.

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: De Rosa, Mariapia, Grimaldi, Antonio Giuseppe
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We prove the local boundedness for solutions to a class of obstacle problems with non-standard growth conditions. The novelty here is that we are able to establish the local boundedness under a sharp bound on the gap between the growth exponents.
DOI:10.48550/arxiv.2202.13102