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