solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看1325次
A note on solutions of Yamabe-type equations on products of spheres. (arXiv:1809.05609v1 [math.DG])
来源于:arXiv
We consider Yamabe-type equations on the Riemannian product of constant
curvature metrics on $\textbf{S}^n \times\textbf{ S}^n$, and study solutions
which are invariant by the cohomogeneity one diagonal action of $O(n+1)$. We
obtain multiplicity results for both positive and nodal solutions. In
particular we prove the existence of nodal solutions of the Yamabe equation on
these products which depend non-trivially on both factors 查看全文>>