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A “Sup + C Inf” inequality for Liouville‐type equations with singular potentials
Author(s) -
Bartolucci Daniele
Publication year - 2011
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810250
Subject(s) - mathematics , gravitational singularity , type (biology) , harnack's inequality , inequality , pure mathematics , function (biology) , mathematical analysis , weight function , ecology , evolutionary biology , biology
We generalize a Harnack‐type inequality (I. Shafrir, C. R. Acad. Sci. Paris, 315 (1992), 159–164), for solutions of Liouville equations to the case where the weight function may admit zeroes or singularities of power‐type | x | 2α , with α ∈ (−1, 1). © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim