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arXiv · 2109.05981

New existence results for prescribed mean curvature problem on balls under pinching conditions

Habib Fourti
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Abstract

We consider a kind of Yamabe problem whose scalar curvature vanishes in the unit ball $\mathbb{B}^n$ and on the boundary $\mathbb{S}^{n-1}$ the mean curvature is prescribed. By combining critical points at infinity approach with Morse theory we obtain new existence results in higher dimensional case $n\geq 5$, under suitable pinching conditions on the mean curvature function.

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Habib Fourti. 2021-09-13. New existence results for prescribed mean curvature problem on balls under pinching conditions. https://arxiv.org/abs/2109.05981

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