Calculus of Variations and Geometric Measure Theory

G. Crasta - A. Malusa

A nonhomogeneous boundary value problem in mass transfer theory

created by malusa on 01 Mar 2011
modified on 15 Jul 2020


Published Paper

Inserted: 1 mar 2011
Last Updated: 15 jul 2020

Journal: Calc. Var. Partial Differential Equations
Year: 2012


We prove a uniqueness result of solutions for a system of PDEs of Monge-Kantorovich type arising in problems of mass transfer theory. The results are obtained under very mild regularity assumptions both on the reference set $\Omega \subset \mathbf{R}^n$, and on the (possibly asymmetric) norm defined in $\Omega$. In the special case when $\Omega$ is endowed with the Euclidean metric, our results provide a complete description of the stationary solutions to the tray table problem in granular matter theory.