22 citations · 28 across the 15 of their papers we have counts for
3 papers · 2 filters
The Gelfand problem for the Infinity Laplacian
Fernando Charro, Byungjae Son, Peiyong Wang
We study the asymptotic behavior as of the Gelfand problem \[ -Δ_{p} u=λ\,e^{u}\ \textrm{in}\ Ω\subset\mathbb{R}^n,\quad u=0 \ \textrm{on}\ \partialΩ. \] Under an appr…
Asymptotic Mean-Value Formulas for Solutions of General Second-Order Elliptic Equations
Pablo Blanc, Fernando Charro, Juan J. Manfredi +1
We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obt…
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…