15 citations · 54 across the 42 of their papers we have counts for
4 papers · 1 filter
Strict and pointwise convergence of BV functions in metric spaces
Panu Lahti
In the setting of a metric space equipped with a doubling measure that supports a Poincaré inequality, we show that if strictly in , i.e. if in $L^…
A Federer-style characterization of sets of finite perimeter on metric spaces
Panu Lahti
In the setting of a metric space equipped with a doubling measure that supports a Poincaré inequality, we show that a set is of finite perimeter if and only if $\mathcal H(\par…
Notions of Dirichlet problem for functions of least gradient in metric measure spaces
Riikka Korte, Panu Lahti, Xining Li +1
We study two notions of Dirichlet problem associated with BV energy minimizers (also called functions of least gradient) in bounded domains in metric measure spaces whose measure i…
Strong approximation of sets of finite perimeter in metric spaces
Panu Lahti
In the setting of a metric space equipped with a doubling measure that supports a Poincaré inequality, we show that any set of finite perimeter can be approximated in the BV norm b…