Area estimates for capillary cmc hypersurfaces with nonpositive Yamabe invariant

Leandro F. Pessoa, Erisvaldo Véras, Bruno Vieira

We prove area estimates for stable capillary $cmc$ (minimal) hypersurfaces $\Sigma$ with nonpositive Yamabe invariant that are properly immersed in a Riemannian $n$-dimensional manifold…