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arXiv · 1406.5938

Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem

Monica Musso·Juncheng Wei
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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 $$ -ΔQ= |Q|^{\frac{2}{n-2}} Q, \ \ Q \in {\mathcal D}^{1,2} (\R^n). $$

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Monica Musso, Juncheng Wei. 2014-06-23. Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem. https://arxiv.org/abs/1406.5938

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