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math.AP2020
Fractional truncated Laplacians: representation formula, fundamental solutions and applications
Isabeau Birindelli, Giulio Galise, Erwin Topp
In this note we introduce some nonlinear extremal nonlocal operators that approximate the, so called, truncated Laplacians. For these operators we construct representation formulas…
math.AP2020
Existence issues for a large class of degenerate elliptic equations with nonlinear Hamiltonians
I. Birindelli, G. Galise, A. Rodríguez
We give sufficient conditions for the existence and uniqueness, in bounded uniformly convex domains , of solutions of degenerate elliptic equations depending also on the nonline…
math.AP2020
Allen-Cahn equation for the truncated Laplacian: unusual phenomena
Isabeau Birindelli, Giulio Galise
We study entire viscosity solutions of the Allen-Cahn type equation for the truncated Laplacian that are either one dimensional or radial, in order to shed some light on a possible…