# A nonhomogeneous boundary value problem in mass transfer theory

created by malusa on 01 Mar 2011
modified on 26 Apr 2011

[BibTeX]

Accepted Paper

Inserted: 1 mar 2011
Last Updated: 26 apr 2011

Journal: Calc. Var. Partial Differential Equations
Year: 2011

Abstract:

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.