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math.AP2018
New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs
Martino Bardi, Alessandro Goffi
We introduce a notion of subunit vector field for fully nonlinear degenerate elliptic equations. We prove that an interior maximum of a viscosity subsolution of such an equation pr…
math.AP2018
Cauchy problem and periodic homogenization for nonlocal Hamilton-Jacobi equations with coercive gradient terms
Martino Bardi, Annalisa Cesaroni, Erwin Topp
This paper deals with the periodic homogenization of nonlocal parabolic Hamilton-Jacobi equations with superlinear growth in the gradient terms. We show that the problem presents d…