20 citations · 44 across the 8 of their papers we have counts for
8 papers · 1 filter
Gelfand-Type problems in Random Walk Spaces
J. M. Mazon, A. Molino, J. Toledo
This paper deals with Gelfand-type problems \begin{equation}\label{Gelfand10} \qquad\qquad\left\{\begin{array}{ll} - Δ_m u = λf(u), \quad&\hbox{in} \ Ω, \ λ>0, \\[10pt] u =0, \quad…
Two models forsandpile growth in weighted graphs
J. M. Mazon, J. Toledo
In this paper we study -Laplacian type diffusion equations in weighted graphs obtained as limit as to two types of -Laplacian evolution equations in such g…
Torsional rigidity in random walk spaces
Jose M. Mazon, Julian Toledo
In this paper we study the (nonlocal) torsional rigidity in the ambient space of random walk spaces. We get the relation of the (nonlocal) torsional rigidity of a set with the…
The Total Variation Flow in Metric Graphs
Jose M. Mazon
Our aim is to study the Total Variation Flow in Metric Graphs. First, we define the functions of bounded variation in Metric Graphs and their total variation, we also give an integ…
-decomposition, , of Functions in Metric Random Walk Spaces
J. M. Mazon, M. Solera, J. Toledo
In this paper we study the -decomposition, , of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used…
The Total Variation Flow in Metric Random Walk Spaces
J. M. Mazon, M. Solera, J. Toledo
In this paper we study the Total Variation Flow (TVF) in metric random walk spaces, which unifies into a broad framework the TVF on locally finite weighted connected graphs, the TV…