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).
Bartolucci, D. (2011). A “Sup + C Inf” inequality for Liouville-type equations with singular potentials. MATHEMATISCHE NACHRICHTEN, 284(13), 1639-1651 [DOI 10.1002/mana.200810250].
A “Sup + C Inf” inequality for Liouville-type equations with singular potentials
BARTOLUCCI, DANIELE
2011-01-01
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).File in questo prodotto:
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