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Generalizing Hopf’s Boundary Point Lemma

Part of: Partial differential equations

Published online by Cambridge University Press:  04 January 2019

Leobardo Rosales
Leobardo Rosales*
Affiliation:
Keimyung University, Department of Mathematics, 1095 Dalgubeol-daero, Daegu, Republic of Korea, 42601 Email: rosales.leobardo@gmail.com
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Abstract

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We give a Hopf boundary point lemma for weak solutions of linear divergence form uniformly elliptic equations, with Hölder continuous top-order coefficients and lower-order coefficients in a Morrey space.

Keywords

partial differential equationdivergence formHopf boundary point lemma

MSC classification

Primary: 35B50: Maximum principles
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 1 , March 2019 , pp. 183 - 197
Copyright
© Canadian Mathematical Society 2018 

Footnotes

This work was partly conducted while the author was an Associate Member at the Korea Institute for Advanced Study.

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