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math.AP2025
Superposition Property in Disjoint Variables for the Infinity Laplace Equation
Qing Liu, Juan J. Manfredi, Xiaodan Zhou
We establish a superposition principle in disjoint variables for the inhomogeneous infinity-Laplace equation. We show that the sum of viscosity solutions of the inhomogeneous infin…
math.AP2024
Green function in metric measure spaces
Mario Bonk, Luca Capogna, Xiaodan Zhou
We study existence and uniqueness of Green functions for the Cheeger -Laplacian in metric measure spaces that are Ahlfors -regular and support a -Poincaré inequality with…