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arXiv · 2604.09672

Sharp mean Hadamard inequalities and polyconvex integrands that give rise to convex functionals

Jonathan Bevan·Martin Kružík·Jan Valdman
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Abstract

We investigate several instances of the Hadamard inequality in the mean in two dimensions. As a consequence, we prove the uniqueness of minimizers of an integral functional with a polyconvex integrand, subject to mixed Dirichlet and Neumann boundary conditions. The theoretical findings are complemented by computational experiments that illustrate the behavior of the minimizers.

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Jonathan Bevan, Martin Kružík, Jan Valdman. 2026-04-02. Sharp mean Hadamard inequalities and polyconvex integrands that give rise to convex functionals. https://arxiv.org/abs/2604.09672

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