English

Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem

Analysis of PDEs 2014-06-24 v1

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=Q2n2Q,  QD1,2(Rn). -\Delta Q= |Q|^{\frac{2}{n-2}} Q, \ \ Q \in {\mathcal D}^{1,2} (\R^n).

Keywords

Cite

@article{arxiv.1406.5938,
  title  = {Nondegeneracy of Nonradial Nodal Solutions to Yamabe Problem},
  author = {Monica Musso and Juncheng Wei},
  journal= {arXiv preprint arXiv:1406.5938},
  year   = {2014}
}