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math.AP2018
Geometric aspects of p-capacitary potentials
Mattia Fogagnolo, Lorenzo Mazzieri, Andrea Pinamonti
We provide monotonicity formulas for solutions to the p-Laplace equation defined in the exterior of a convex domain. A number of analytic and geometric consequences are derived, in…
math.AP2018
Rigidity results in Diffusion Markov Triples
Serena Dipierro, Andrea Pinamonti, Enrico Valdinoci
We consider stable solutions of semilinear equations in a very general setting. The equation is set on a Polish topological space endowed with a measure and the linear operator is…