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A “Sup + C Inf” inequality for Liouville-type equations with singular potentials

✍ Scribed by Daniele Bartolucci


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
142 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis


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| 2 α , with α ∈ (-1, 1).