Calculus of Variations and Geometric Measure Theory

G. Crasta - A. Malusa

Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory

created by malusa on 26 Oct 2012
modified on 15 Jul 2020


Published Paper

Inserted: 26 oct 2012
Last Updated: 15 jul 2020

Journal: J. Differential Equations
Year: 2015


We consider a system of PDEs of Monge-Kantorovich type that, in the isotropic case, describes the stationary configurations of two-layers models in granular matter theory with a general source and a general boundary data. We propose a new weak formulation which is consistent with the physical model and permits us to prove existence and uniqueness results.