9 citations · 18 across the 11 of their papers we have counts for
12 papers
Fractional Infinity Laplacian with Obstacle
Samer Dweik, Ahmad Sabra
This paper deals with the obstacle problem for the fractional infinity Laplacian with nonhomogeneous term , where : $$\begin{cases} L[u]=…
The non-convex planar Least Gradient Problem
Samer Dweik, Piotr Rybka, Ahmad Sabra
We study the least gradient problem in bounded regions with Lipschitz boundary in the plane. We provide a set of conditions for the existence of solutions in non-convex simply conn…
Optimal transport approach to Sobolev regularity of solutions to the weighted least gradient problem
Samer Dweik, Wojciech Górny
We study the equivalence between the weighted least gradient problem and the weighted Beckmann minimal flow problem or equivalently, the optimal transport problem with Riemannian c…
Stochastic optimal transport with free end time
Samer Dweik, Nassif Ghoussoub, Young-Heon Kim +1
We consider a stochastic transportation problem between two prescribed probability distributions (a source and a target) over processes with general drift dependence and with free…
Least gradient problem on annuli
Samer Dweik, Wojciech Górny
We consider the two dimensional BV least gradient problem on an annulus with given boundary data . Firstly, we prove that this problem is equivalent to the opt…
L^{p,q} estimates on the transport density
Samer Dweik
In this paper, we show a new regularity result on the transport density σ in the classical Monge-Kantorovich optimal mass transport problem between two measures, μ and ν, having so…