S. Dweik:
Optimal transportation with boundary costs and summability estimates on the transport density
(Accepted Paper: Journal of Convex Analysis) 2016
S. Dweik, F. Santambrogio:
Summability estimates on transport densities with Dirichlet regions on the boundary via symmetrization techniques
(Accepted Paper: COCV) 2017
S. Dweik:
Lack of regularity of the transport density in the Monge problem
(Accepted Paper: Journal de mathématiques pures et appliquées) 2017
S. Dweik:
Weighted Beckmann problem with boundary costs
Quarterly of Applied Mathematics 2018
S. Dweik, F. Santambrogio:
$L^p$ bounds for boundary-to-boundary transport densities, and $W^{1,p}$ bounds for the BV least gradient problem in 2D
Calculus of Variations and PDE's (Accepted Paper) 2018
S. Dweik:
Transport and control problems with boundary costs: regularity and summability of optimal and equilibrium densities
(Ph.D. Thesis) 2018
S. Dweik:
$L^{p,q}$ estimates on the transport density
Communications on Pure and Applied Analysis (Accepted Paper) 2019
S. Dweik, N. Ghoussoub, A. Z. Palmer:
Optimal controlled transports with free end times subject to import/export tariffs
Journal of Dynamical and Control Systems (Accepted Paper) 2019
S. Dweik, W. Górny :
Least gradient problem on annuli
Analysis & PDE (Accepted Paper) 2019
S. Dweik, G. Mazanti:
Sharp semi-concavity in a non-autonomous control problem and $L^p$ estimates in an optimal-exit MFG
Nonlinear Differential Equations and Applications (Accepted Paper) 2019
S. Dweik, N. Ghoussoub, Y. H. Kim, A. Z. Palmer:
Stochastic optimal transport with free end time
Annales de lInstitut Henri Poincaré, Probabilités et Statistiques (Accepted Paper) 2019
S. Dweik:
$W^{1,p}$ regularity on the solution of the BV least gradient problem with Dirichlet condition on a part of the boundary
Nonlinear Analysis (Accepted Paper) 2020
S. Dweik:
Optimal free export/import regions
Canadian Mathematical Bulletin (Accepted Paper) 2020
S. Dweik:
Regularity of the transport density in the optimal transport problem with Riemannian cost
(Preprint) 2021
W. Górny, S. Dweik:
Optimal transport approach to sobolev regularity of solutions to the weighted least gradient problem
SIAM Journal on Mathematical Analysis (Accepted Paper) 2021
S. Dweik:
Optimal region for the transport problem to the boundary
(Preprint) 2022
S. Dweik:
BV estimates on the transport density with Dirichlet region on the boundary
(Preprint) 2022