Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem

2014/06/23 by Musso, Monica, Wei, Juncheng
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1406.5938

Abstract

We provide the first example of a sequence of \em nondegenerate, in the sense of Duyckaerts-Kenig-Merle \citeDKM, nodal nonradial solutions to the critical Yamabe problem -ΔQ= |Q|^(2)/(n-2) Q, Q ∈ \mathcal D^1,2 (\Rⁿ).

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