Calculus of Variations and Geometric Measure Theory

S. Dweik

Weighted Beckmann problem with boundary costs

created by dweik on 05 Oct 2018
modified on 03 Jun 2019


Published Paper

Inserted: 5 oct 2018
Last Updated: 3 jun 2019

Journal: Quarterly of Applied Mathematics
Year: 2018


We show that a solution to a variant of the Beckmann problem can be obtained by studying the limit of some weighted p-Laplacian problems. In addition, we connect this problem to a formulation with Kantorovich potentials with Dirichlet boundary conditions.