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Generalized Harnack inequality for semilinear elliptic equations

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Julin, V. (2016). Generalized Harnack inequality for semilinear elliptic equations. Journal de Mathématiques Pures et Appliquées, 106(5), 877-904. https://doi.org/10.1016/j.matpur.2016.03.015
Published in
Journal de Mathématiques Pures et Appliquées
Authors
Julin, Vesa
Date
2016
Discipline
MatematiikkaMathematics
Copyright
© 2016 Elsevier Masson SAS. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.

 
This paper is concerned with semilinear equations in divergence form div(A(x)Du) = f(u) where f : R → [0, ∞) is nondecreasing. We introduce a sharp Harnack type inequality for nonnegative solutions which is a quantified version of the condition for strong maximum principle found by Vazquez and Pucci-Serrin in [30, 24] and is closely related to the classical Keller-Osserman condition [15, 22] for the existence of entire solutions.
Publisher
Elsevier Masson
ISSN Search the Publication Forum
0021-7824
Keywords
Harnack inequality elliptic equations in divergence form semilinear equations nonhomogeneous equations
DOI
https://doi.org/10.1016/j.matpur.2016.03.015
URI

http://urn.fi/URN:NBN:fi:jyu-201610054269

Publication in research information system

https://converis.jyu.fi/converis/portal/detail/Publication/25620363

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