Laguerre BV spaces, Laguerre perimeter and their applications

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 peri...

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Bibliographic Details
Main Authors: He Wang, Yu Liu
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:Communications in Analysis and Mechanics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/cam.2023011?viewType=HTML