A boundary value problem for a PDE model in mass transfer theory: Representation of solutions and applications
Cannarsa P., Cardaliaguet P., Crasta G.
The system of partial differential equationsarises in the analysis of mathematical models for sandpile growth and in the context of the Monge-Kantorovich optimal mass transport theory. A representation formula for the solutions of a related boundary value problem is here obtained, extending the previous two-dimensional result of the first two authors to arbitrary space dimension. An application to the minimization of integral functionals of the formwith f≥ 0, and h≥ 0 possibly non-convex, is also included.
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