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Singularities of fractional Emden's equations via Caffarelli-Silvestre extension

Abstract : We study the isolated singularities of functions satisfying (E) (−∆) s v±|v| p−1 v = 0 in Ω\{0}, v = 0 in R N \Ω, where 0 < s < 1, p > 1 and Ω is a bounded domain containing the origin. We use the Caffarelli-Silvestre extension to R + × R N. We emphasize the obtention of a priori estimates, analyse the set of self-similar solutions via energy methods to characterize the singularities.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03689999
Contributor : Laurent Veron Connect in order to contact the contributor
Submitted on : Tuesday, June 7, 2022 - 5:23:59 PM
Last modification on : Friday, June 10, 2022 - 3:35:28 AM

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  • HAL Id : hal-03689999, version 1
  • ARXIV : 2206.04353

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Huyuan Chen, Laurent Véron. Singularities of fractional Emden's equations via Caffarelli-Silvestre extension. 2022. ⟨hal-03689999⟩

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