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An Harnak inequality for Liouville-type equations with singular sources

✍ Scribed by Tarantello G.

Book ID
127404488
Year
2003
Tongue
English
Weight
209 KB
Category
Library

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πŸ“œ SIMILAR VOLUMES

A β€œSup + C Inf” inequality for Liouville
A β€œSup + C Inf” inequality for Liouville-type equations with singular potentials
✍ 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).