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math.AP2019
Convex envelopes on Trees
Leandro M. Del Pezzo, Nicolas Frevenza, Julio D. Rossi
We introduce two notions of convexity for an infinite regular tree. For these two notions we show that given a continuous boundary datum there exists a unique convex envelope on th…
math.AP2019★ 2 cited
Dirichlet-to-Neumann maps on Trees
Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi
In this paper we study the Dirichlet-to-Neumann map for solutions to mean value formulas on trees. We give two alternative definition of the Dirichlet-to-Neumann map. For the first…