Julio D. Rossi

most citedA mixed problem for the infinity laplacian via Tug-of-War games

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math.AP2009

A limiting free boundary problem ruled by Aronsson's equation

J. D. Rossi, E. V. Teixeira

We study the behavior of $p$ -Dirichlet optimal design problem with volume constraint for $p$ large. As the limit as $p$ goes to infinity, we find a limiting free boundary problem g…

math.AP2007★ 1 cited

A mixed problem for the infinity laplacian via Tug-of-War games

Fernando Charro, Jesus Garcia Azorero, Julio D. Rossi

In this paper we prove that a function $u \in C (Ω ˉ)$ is the continuous value of the Tug-of-War game described in \cite{PSSW} if and only if it is the unique viscosity s…