Simultaneous smoothness and simultaneous stability of a $C^{\infty }$ strictly convex integrand and its dual

Erica Boizan Batista, Huhe Han, Takashi Nishimura

In this paper, we investigate simultaneous properties of a convex integrand $\gamma$ and its dual $\delta$. The main results are the following three. (1) For a $C^{\infty }$ convex integrand $γ…