2 problems

Alexandrov's conjecture. An affirmative answer should also hold in the general case: every such homogeneous solution $u$ must be a linear function.

Let $\bar u_0$ be a nonconvex function satisfying the homogeneity condition … sup{xinmathbb{R}^n}|Hs(x,bar u(x,t))|leqslant C t^{-frac{s}{s+1}}qquadforall t0. … . The claim extends…