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Liouville theorems for a singular parabolic differential inequality with a gradient term

✍ Scribed by Fang, Zhong; Xu, Lijun


Book ID
125396891
Publisher
Hindawi Publishing Corporation
Year
2014
Tongue
English
Weight
246 KB
Volume
2014
Category
Article
ISSN
1025-5834

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A β€œSup + C Inf” inequality for Liouville
✍ Daniele Bartolucci πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 142 KB

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).