OpenAlex | Asymptotic behavior of $BV$ functions and sets of finite perimeter in metric measure spaces

Asymptotic behavior of $BV$ functions and sets of finite perimeter in metric measure spaces

Work

Year: 2021

Type: article

Abstract: In this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a $1$-Poincaré inequality. We show that at almost every po... more

Source: Transactions of the American Mathematical Society

Authors Sylvester Eriksson‐Bique, James T. Gill, Panu Lahti, Nageswari Shanmugalingam

Institutions University of Oulu, Saint Louis University, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, University of Cincinnati

Cites: 32

Cited by: 3

Related to: 10

FWCI: 0.85

Citation percentile (by year/subfield): 75.26

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders National Science Foundation, National Science Foundation, National Science Foundation

Grant IDS 1800161, 1500440, 1704215