Sharp mean Hadamard inequalities and polyconvex integrands that give rise to convex functionals
Analysis of PDEs
2026-04-14 v1
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.
Keywords
Cite
@article{arxiv.2604.09672,
title = {Sharp mean Hadamard inequalities and polyconvex integrands that give rise to convex functionals},
author = {Jonathan Bevan and Martin Kružík and Jan Valdman},
journal= {arXiv preprint arXiv:2604.09672},
year = {2026}
}
Comments
20 pages, 11 figures, 2 tables