activity
20192022
most citedThe Neumann and Dirichlet problems for the total variation flow in metric measure spaces

1 citations · 1 across the 2 of their papers we have counts for

collaborators

5 papers

math.AP2022

The Cheeger Cut and Cheeger Problem in Metric Graphs

José M. Mazón

For discrete weighted graphs there is sufficient literature about the Cheeger cut and the Cheeger problem, but for metric graphs there are few results about these problems. Our aim…

math.AP20211 cited

The Neumann and Dirichlet problems for the total variation flow in metric measure spaces

Wojciech Górny, José M. Mazón

We study the Neumann and Dirichlet problems for the total variation flow in metric measure spaces. We prove existence and uniqueness of weak solutions and study their asymptotic be…

math.AP2021

The Anzellotti-Gauss-Green formula and least gradient functions in metric measure spaces

Wojciech Górny, José M. Mazón

In the framework of the first-order differential structure introduced by Gigli, we obtain a Gauss-Green formula on regular bounded open sets of metric measure spaces, valid for BV…

math.AP2019

Least gradient functions in metric random walk spaces

Wojciech Górny, José M. Mazón

In this paper we study least gradient functions in metric random walk spaces, which include as particular cases the least gradient functions on locally finite weighted connected gr…

math.AP2019

The Dirichlet-to-Neumann operator associated with the -Laplace operator and evolution problems

Daniel Hauer, José M. Mazón

We present first results on the Dirichlet-to-Neumann operator associated with the -Laplace operator in . In particular, we show that this operator can be realized as a sub-…