Maximum principles and Bôcher type theorems

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Abstract

We establish maximum principles and Bôcher-type theorems for superharmonic and fractional superharmonic nonnegative functions on a punctured ball. Connecting maximum principles with Bôcher-type theorems is a crucial observation.

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Li, C., Wu, Z., & Xu, H. (2018). Maximum principles and Bôcher type theorems. Proceedings of the National Academy of Sciences of the United States of America, 115(27), 6976–6979. https://doi.org/10.1073/pnas.1804225115

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