A “Sup + C Inf” inequality for Liouville‐type equations with singular potentials |
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| Authors: | Daniele Bartolucci |
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| Institution: | University of Rome “Tor Vergata,” Department of Mathematics, Via della Ricerca Scientifica n.1, 00133 Rome, Italy |
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| Abstract: | 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 |
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| Keywords: | Harnack type inequalities Liouville type equations concentration phenomena MSC (2010) Primary: 35B45 35J60 35J99 |
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