25 citations · 34 across the 7 of their papers we have counts for
9 papers
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…
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…
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…
On the -Laplacian evolution equation in metric measure spaces
Wojciech Górny, José M. Mazón
The -Laplacian evolution equation in metric measure spaces has been studied as the gradient flow in of the -Cheeger energy (for ). In this paper, using…
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…
Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces
José M. Mazón, Marcos Solera, Julián Toledo
In this paper we study evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in the framework of metric random walk spaces. This covers cases with…
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-…
Kurdyka-Lojasiewicz-Simon inequality for gradient flows in metric spaces
Daniel Hauer, José Mazon
This paper is dedicated to providing new tools and methods for studying the trend to equilibrium of gradient flows in metric spaces in the entropy and metric sense, to establish de…
On a nonlinear flux--limited equation arising in the transport of morphogens
Fuensanta Andreu, Juan Calvo, José M. Mazón +1
Motivated by a mathematical model for the transport of morphogenes in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial-boundary value…