Hadamard's inequality in the mean

Jonathan Bevan, Martin Kružík, Jan Valdman

Let $Q$ be a Lipschitz domain in ${\mathbb{R}}^n$ and let $f\in L^{\infty }(Q)$. We investigate conditions under which the functional $$I_n(φ)=\int_Q |\nabla φ|^n+ f(x)\,\mathrm{det}…