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On the elliptic Harnack inequality


Author: Diego Maldonado
Journal: Proc. Amer. Math. Soc. 145 (2017), 3981-3987
MSC (2010): Primary 35J15; Secondary 49N60
DOI: https://doi.org/10.1090/proc/13537
Published electronically: March 27, 2017
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Abstract: A brief exposition on some tools for proving the elliptic Harnack inequality is presented.


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Diego Maldonado
Affiliation: Department of Mathematics, 138 Cardwell Hall, Kansas State University, Manhattan, Kansas 66506
Email: dmaldona@math.ksu.edu

DOI: https://doi.org/10.1090/proc/13537
Keywords: Harnack inequality, reverse-H\"older inequalities, critical-density properties, doubling metric spaces, spaces of homogeneous type
Received by editor(s): September 12, 2016
Received by editor(s) in revised form: October 17, 2016
Published electronically: March 27, 2017
Additional Notes: The author was supported by the NSF under grant DMS 1361754.
Dedicated: To the memory of Ennio De Giorgi on the 20th anniversary of his passing
Communicated by: Joachim Krieger
Article copyright: © Copyright 2017 American Mathematical Society

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