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Doubly Nonlinear Diffusion Equations on Metric Graphs
J. M. Mazón, J. Toledo
In this paper we study existence and uniqueness of solutions for a very general class of doubly nonlinear diffusion equations on metric graphs, which provide the appropriate mathem…
Evolution problem for the -Laplacian with mixed boundary conditions
N. Igbida, J. M. Mazón, J. Toledo
This paper deals with evolution problem for the -Laplacian with mixed boundary conditions on a bounded open set of . We prove existence and uniqueness of strong soluti…
A duality-based approach to gradient flows of linear growth functionals
Wojciech Górny, José M. Mazón
We study gradient flows of general functionals with linear growth with very weak assumptions. Classical results concerning characterisation of solutions require differentiability o…
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…
-harmonic approximation of functions of least -seminorm
Claudia Bucur, Serena Dipierro, Luca Lombardini +2
We investigate the convergence as of the minimizers of the -energy for and to those of the -energy, both in the pointwis…