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math.AP2011★ 1 cited
Global Lipschitz regularizing effects for linear and nonlinear parabolic equations
Enrico Priola, Alessio Porretta
In this paper we prove global bounds on the spatial gradient of viscosity solutions to second order linear and nonlinear parabolic equations in . Our assumptions…
math.AP2011★ 2 cited
Separable solutions of quasilinear Lane-Emden equations
Alessio Porretta, Laurent Veron
For and , we prove the existence of solutions of $-\Gd_pu=\ge u^q$ in a cone , with vertex 0 and opening , vanishing on $\prt C_S$, under the form…