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math.AP2016
Homogeneous solutions of extremal Pucci's equations in planar cones
Fabiana Leoni
We derive explicit expressions of the homogeneous solutions in two dimensional cones for Pucci's extremal equations. As examples of possible applications, we obtain monotonicity fo…
math.AP2016
Existence results for fully nonlinear equations in radial domains
Giulio Galise, Fabiana Leoni, Filomena Pacella
We consider the fully nonlinear problem \begin{equation*} \begin{cases} -F(x,D^2u)=|u|^{p-1}u & \text{in }\\ u=0 & \text{on } \end{cases} \end{equation*} where is…