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A Hopf-type Boundary Point Lemma for Pairs of Solutions to Quasilinear Equations

Part of: Partial differential equations

Published online by Cambridge University Press:  22 February 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

We present a Hopf boundary point lemma for the difference between two Hölder continuously differentiable functions, each weak solutions to a divergence-form quasilinear equation, under mild boundedness assumptions on the coefficients of this equation.

Keywords

partial differential equationdivergence formHopf boundary point lemma

MSC classification

Primary: 35B50: Maximum principles
Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 3 , September 2019 , pp. 607 - 621
Copyright
© Canadian Mathematical Society 2019 

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Footnotes

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

References

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