Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem

Abstract

We provide the first example of a sequence of {\em nondegenerate}, in the sense of Duyckaerts-Kenig-Merle \cite{DKM}, nodal nonradial solutions to the critical Yamabe problem $$-\Delta Q=|Q{|}^{\frac{2}{n-2}}Q,Q\in {\mathcal{D}}^{1,2}({\mathbb{R}}^n).$$

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