Regularity properties of viscosity solutions for fully nonlinear equations on the model of the anisotropic p-Laplacian

摘要

This paper is devoted to some Lipschitz estimates between sub- and super-solutions of Fully Nonlinear equations on the model of the anisotropic (p) over right arrow -Laplacian. In particular we derive from the results enclosed that the continuous viscosity solutions for the equation Sigma(N)(1) partial derivative(i)(partial derivative(i)u|p(i-2)partial derivative iu) = f are Lipschitz continuous when sup(i) p(i) < inf(i) p(i) + 1, where <(p)over right arrow> = Sigma(i) p(i)e(i).