Manfredi's Research

Manfredi and his graduate students Robert Berry and Alexander Sviridov work on the p-Laplace equation, including p equals infinity, in Euclidean space and Carnot groups, and their connection with the Monge-Kantorovich mass transfer problem. They study the regularity of p-harmonic functions in the Heisenberg group, the connection between the Neuman problem for the infinite Laplacian and mass transport, and fine properties of p-harmonic measure. More recently, Manfredi has developed an interest in the theory of stochastic games in connection with their applications to nonlinear elliptic equations.

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