The paper “New applications of Hadamard-in-the-mean inequalities to incompressible variational problems“, co-authored by Jon Bevan, Martin Kružík (Czech Academy of Sciences & Czech Technical University), and Jan Valdman (Czech Academy of Sciences & University of South Bohemia), has been published in the Springer journal Calculus of Variations and Partial Differential Equations (open access link here). The abstract is shown below, along with Figure 9 from the paper.