On a rigidity result for Kolmogorov-type operators

Let D be a bounded open subset of ℝN and let z0 be a point of D. Assume that the Newtonian potential of D is proportional outside D to the potential of a mass concentrated at z0. Then D is a Euclidean ball centred at z0. This theorem, proved by Aharonov, Schiffer and Zalcman in 1981, was extended to...

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Bibliographic Details
Main Author: Alessia E. Kogoj
Format: Article
Language:English
Published: University of Bologna 2025-01-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/21058