3 papers
math.AP2025
Superposition Property in Disjoint Variables for the Infinity Laplace Equation
Qing Liu, Juan J. Manfredi, Xiaodan Zhou
We establish a superposition principle in disjoint variables for the inhomogeneous infinity-Laplace equation. We show that the sum of viscosity solutions of the inhomogeneous infin…
math.AP2025
Connections between coupling and Ishii-Lions methods for tug-of-war with noise stochastic games
Riku Anttila, Juan J. Manfredi, Mikko Parviainen
We present a streamlined account of two different regularity methods as well as their connections. We consider the coupling method in the context of tug-of-war with noise stochasti…
math.AP2024
Comparison principles for degenerate sub-elliptic equations in non-divergence form
Juan J. Manfredi, Shirsho Mukherjee
We prove the comparison principle for viscosity sub/super-solutions of degenerate subelliptic equations in non-divergence form that include the sub-elliptic infinity Laplacian and…