Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds

Mouhamed Moustapha Fall, Fethi Mahmoudi

Given a domain $\Omega$ of ${\mathbb{R}}^{m+1}$ and a $k$-dimensional non-degenerate minimal submanifold $K$ of $\pa Ω$ with $1\le k\le m-1$, we prove the existence of a family of embedde…