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Perturbation of the CR fractional Yamabe problem
Author(s) -
Chen YanHong,
Wang Yafang
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600044
Subject(s) - mathematics , perturbation (astronomy) , sobolev space , degeneracy (biology) , pure mathematics , mathematical analysis , physics , bioinformatics , quantum mechanics , biology
In this note, we first prove the non‐degeneracy property of extremals for the optimal Hardy–Littlewood–Sobolev inequality on the Heisenberg group, as an application, a perturbation result for the CR fractional Yamabe problem is obtained, this generalizes a classical result of Malchiodi and Uguzzoni [30][A. Malchiodi, 2002].