4 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…
Cahn-Hilliard Equations on Random Walk Spaces
José M. Mazón, Julián Toledo
In this paper we study a nonlocal Cahn-Hilliard model (CHE) in the framework of random walk spaces, which includes as particular cases, the CHE on locally finite weighted connected…