Abstract: |
In this talk we will construct a sequence of nondegenerate (in the sense of Duyckaerts-Kenig-Merle) nodal nonradial solutions to the critical Yamabe problem
$$-\Delta u=\frac{n(n-2)}{4}|u|^{\frac{4}{n-2}}u,\qquad u\in\mathcal{D}^{1,2}(\mathbb{R}^n),$$
which provides the first example in the literature of a solution with maximal rank. This is a joint work with M. Musso and J. Wei. |
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