11 citations · 11 across the 4 of their papers we have counts for
6 papers · 1 filter
Asymptotic mean value formulas for parabolic nonlinear equations
Pablo Blanc, Fernando Charro, Juan J. Manfredi +1
In this paper we characterize viscosity solutions to nonlinear parabolic equations (including parabolic Monge-Ampère equations) by asymptotic mean value formulas. Our asymptotic me…
A Nonlinear Mean Value Property for Monge-Ampère
Pablo Blanc, Fernando Charro, Juan J. Manfredi +1
In recent years there has been an increasing interest in whether a mean value property, known to characterize harmonic functions, can be extended in some weak form to solutions of…
The evolution problem associated with eigenvalues of the Hessian
Pablo Blanc, Carlos Esteve, Julio D. Rossi
In this paper we study the evolution problem \[ \left\lbrace\begin{array}{ll} u_t (x,t)- λ_j(D^2 u(x,t)) = 0, & \text{in } Ω\times (0,+\infty), \\ u(x,t) = g(x,t), & \text{on } \pa…
Games for Pucci's maximal operators
Pablo Blanc, Juan J. Manfredi, Julio D Rossi
In this paper we introduce a game whose value functions converge (as a parameter that measures the size of the steps goes to zero) uniformly to solutions to the second order Pucci…
Games for eigenvalues of the Hessian and concave/convex envelopes
Pablo Blanc, Julio D. Rossi
We study the PDE , in , with , on . Here are the ordered eigenvalues of the Hessian . First, we sh…
A limiting free boundary problem with gradient constraint and Tug-of-War games
Pablo Blanc, João Vítor da Silva, Julio D. Rossi
In this manuscript we deal with regularity issues and the asymptotic behaviour (as ) of solutions for elliptic free boundary problems of Laplacian type ($2 \leq p…