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:
Physical Sciences
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
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author Li, Congming
Wu, Zhigang
Xu, Hao
author_facet Li, Congming
Wu, Zhigang
Xu, Hao
author_sort Li, Congming
collection PubMed
description 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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spelling pubmed-61422082018-09-19 Maximum principles and Bôcher type theorems Li, Congming Wu, Zhigang Xu, Hao Proc Natl Acad Sci U S A Physical Sciences 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. National Academy of Sciences 2018-07-03 2018-06-20 /pmc/articles/PMC6142208/ /pubmed/29925595 http://dx.doi.org/10.1073/pnas.1804225115 Text en Copyright © 2018 the Author(s). Published by PNAS. https://creativecommons.org/licenses/by-nc-nd/4.0/ This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND) (https://creativecommons.org/licenses/by-nc-nd/4.0/) .
spellingShingle Physical Sciences
Li, Congming
Wu, Zhigang
Xu, Hao
Maximum principles and Bôcher type theorems
title Maximum principles and Bôcher type theorems
title_full Maximum principles and Bôcher type theorems
title_fullStr Maximum principles and Bôcher type theorems
title_full_unstemmed Maximum principles and Bôcher type theorems
title_short Maximum principles and Bôcher type theorems
title_sort maximum principles and bôcher type theorems
topic Physical Sciences
url 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
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