activity
20182024
most citedThe Heat Flow on Metric Random Walk Spaces

20 citations · 50 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2024

Weak solutions of Anisotropic (and crystalline) inverse mean curvature flow as limits of -capacitary potentials

Esther Cabezas-Rivas, Salvador Moll, Marcos Solera

We construct weak solutions of the anisotropic inverse mean curvature flow (A-IMCF) under very mild assumptions both on the anisotropy (which is simply a norm in with…

math.AP2023

Characterization of the subdifferential and minimizers for the anisotropic p-capacity

Esther Cabezas-Rivas, Salvador Moll, Marcos Solera

We obtain existence of minimizers for the -capacity functional defined with respect to a centrally symmetric anisotropy for , including the case of a crystalline n…

math.AP2021

Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions

Marcos Solera, Julián Toledo

We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear diffusion problems of -Laplacian type with nonlinear boundary conditions posed in metric…

math.AP2019★ 6 cited

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…

math.AP2019★ 4 cited

-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…

math.AP2019★ 20 cited

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…

math.AP2018★ 20 cited

The Heat Flow on Metric Random Walk Spaces

José M. Mazon, Marcos Solera, Julián Toledo

In this paper we study the Heat Flow on Metric Random Walk Spaces, which unifies into a broad framework the heat flow on locally finite weighted connected graphs, the heat flow det…