We review some recent results on minimisers of a non-local perimeter functional, in connection with some phase coexistence models whose diffusion term is given by the fractional Laplacian
Many physical systems are modeled mathematically as variational problems, where the observed configu...
Given $s,\sigma\in(0,1)$ and a bounded domain $\Omega\subset\mathbb{R}^n$, we consider the following...
The purpose of this paper consists in a better understanding of the fractional nature of the nonloca...
This work aims to present a study of the principal results about the fractional perimeter and the re...
We consider a minimization problem that combines the Dirichlet energy with the nonlocal perimeter of...
We study the localization of sets with constant nonlocal mean curvature and prescribed small volume ...
We consider a one-phase nonlocal free boundary problem obtained by the superposition of a fractional...
This doctoral thesis is devoted to the analysis of some minimization problems that involve nonlocal ...
We consider the fractional Laplace framework and provide models and theorems related to nonlocal dif...
We study a class of integral functionals known as nonlocal perimeters, which, intuitively, express a...
We discuss some recent results on phase transition models driven by non- local operators, also in r...
This paper provides a unified point of view on fractional perimeters and Riesz potentials. Denoting ...
The thesis is on several minimization problems involving nonlocal perimeters. The nonlocal perimete...
AbstractRecently Frank and Seiringer have shown an isoperimetric inequality for nonlocal perimeter f...
In recent years fractional operators have received considerable attention both in pure and applied m...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
Given $s,\sigma\in(0,1)$ and a bounded domain $\Omega\subset\mathbb{R}^n$, we consider the following...
The purpose of this paper consists in a better understanding of the fractional nature of the nonloca...
This work aims to present a study of the principal results about the fractional perimeter and the re...
We consider a minimization problem that combines the Dirichlet energy with the nonlocal perimeter of...
We study the localization of sets with constant nonlocal mean curvature and prescribed small volume ...
We consider a one-phase nonlocal free boundary problem obtained by the superposition of a fractional...
This doctoral thesis is devoted to the analysis of some minimization problems that involve nonlocal ...
We consider the fractional Laplace framework and provide models and theorems related to nonlocal dif...
We study a class of integral functionals known as nonlocal perimeters, which, intuitively, express a...
We discuss some recent results on phase transition models driven by non- local operators, also in r...
This paper provides a unified point of view on fractional perimeters and Riesz potentials. Denoting ...
The thesis is on several minimization problems involving nonlocal perimeters. The nonlocal perimete...
AbstractRecently Frank and Seiringer have shown an isoperimetric inequality for nonlocal perimeter f...
In recent years fractional operators have received considerable attention both in pure and applied m...
Many physical systems are modeled mathematically as variational problems, where the observed configu...
Given $s,\sigma\in(0,1)$ and a bounded domain $\Omega\subset\mathbb{R}^n$, we consider the following...
The purpose of this paper consists in a better understanding of the fractional nature of the nonloca...
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