Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem

preprint2014arXivOpen access

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 −ΔQ=∣Q∣2n−2Q,  Q∈D1,2(Rn). -ΔQ= |Q|^{\frac{2}{n-2}} Q, \ \ Q \in {\mathcal D}^{1,2} (\R^n).

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