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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Format: | Article |
Language: | English |
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University of Bologna
2025-01-01
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Series: | Bruno Pini Mathematical Analysis Seminar |
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Online Access: | https://mathematicalanalysis.unibo.it/article/view/21058 |