Laguerre BV spaces, Laguerre perimeter and their applications

Autor: He Wang, Yu Liu
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Communications in Analysis and Mechanics, Vol 15, Iss 2, Pp 189-213 (2023)
Druh dokumentu: article
ISSN: 2836-3310
DOI: 10.3934/cam.2023011?viewType=HTML
Popis: In this paper, we introduce the Laguerre bounded variation space and the Laguerre perimeter, thereby investigating their properties. Moreover, we prove the isoperimetric inequality and the Sobolev inequality in the Laguerre setting. As applications, we derive the mean curvature for the Laguerre perimeter.
Databáze: Directory of Open Access Journals