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math.AP2024
Finding the convex hull of a set using the flow by minimal curvature with an obstacle. A game theoretical approach
Irene Gonzálvez, Alfredo Miranda, Julio D. Rossi +1
In this paper we look for the convex hull of a set using the geometric evolution by minimal curvature of a hypersurface that surrounds the set. To find the convex hull, we study th…
math.AP2021
A game theoretical approximation for a parabolic/elliptic system with different operators
Alfredo Miranda, Julio D. Rossi
In this paper we find viscosity solutions to a coupled system composed by two equations, the first one is parabolic and driven by the infinity Laplacian while the second one is ell…
math.AP2020
A game theoretical approach for an elliptic system with two different operators (the Laplacian and the infinity Laplacian)
Alfredo Miranda, Julio D Rossi
In this paper we find viscosity solutions to an elliptic system governed by two different operators (the Laplacian and the infinity Laplacian) using a probabilistic approach. We an…