Stability of hypersurfaces with constant $r$-th anisotropic mean curvature

Yijun He, Haizhong Li

Given a positive function $F$ on $S^n$ which satisfies a convexity condition, we define the $r$-th anisotropic mean curvature function $H_r^F$ for hypersurfaces in $\mathbb{R}^{n+1…