2 problems

Quasiconvexity conjecture. The displayed function is quasiconvex at some matrix $A_0$. By homogeneity, quasiconvexity at $A_0$ implies quasiconvexity at $0$. This proposed strength…

Let $p\in(1,\infty)$, let $p^*=\max(p',p)$ with $p'$ the Hölder conjugate of $p$, and let $C(p,d)$, $C_0(p,d)$, and $C_{\mathrm{KN}}(p,d)$ denote the constants in the ordinary, tra…