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math.AP2024
Game theoretical asymptotic mean value properties for non-homogeneous -Laplace problems
Félix del Teso, Julio D. Rossi
We extend the classical mean value property for the Laplacian operator to address a nonlinear and non-homogeneous problem related to the -Laplacian operator for . Specifica…
math.AP2024
The limit as of the fractional convex envelope
Begoña Barrios, Leandro M. Del Pezzo, Alexander Quaas +1
We study the behavior of the fractional convexity when the fractional parameter goes to 1. For any notion of convexity, the convex envelope of a datum prescribed on the boundary of…