A unified flow approach to smooth, even $L_p$-Minkowski problems
  We study long-time existence and asymptotic behaviour for a class of anisotropic, expanding curvature flows. For this we adapt new curvature estimates, which were developed by Guan, Ren and Wang to treat some stationary prescribed curvature problems. As an application we give a unified flow approach to the existence of smooth, even $L_p$-Minkowski problems in $\mathbb{R}^{n+1}$ for $p>-n-1.$ 
Paul Bryan and Mohammad N. Ivaki and Julian Scheuer
math.DG math.AP