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Maximum principles and Bôcher type theorems

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.

Detalles Bibliográficos
Autores principales: Li, Congming, Wu, Zhigang, Xu, Hao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6142208/
https://www.ncbi.nlm.nih.gov/pubmed/29925595
http://dx.doi.org/10.1073/pnas.1804225115
Descripción
Sumario: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.