Hopf maximum principle

id: hopf-maximum-principle-295-11038906
title: Hopf maximum principle
text: The Hopf maximum principle is a maximum principle in the theory of second order elliptic partial differential equations and has been described as the "classic and bedrock result" of that theory. Generalizing the maximum principle for harmonic functions which was already known to Gauss in 1839, Eberhard Hopf proved in 1927 that if a function satisfies a second order partial differential inequality of a certain kind in a domain of Rn and attains a maximum in the domain then the function is constan
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Hopf_maximum_principle
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date modified: 2024-01-25T08:00:49Z
main entity: {"identifier":"Q5900506","url":"https://www.wikidata.org/entity/Q5900506"}
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