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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.09672 |
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| _version_ | 1866910120359755776 |
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| author | Bevan, Jonathan Kružík, Martin Valdman, Jan |
| author_facet | Bevan, Jonathan Kružík, Martin Valdman, Jan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09672 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sharp mean Hadamard inequalities and polyconvex integrands that give rise to convex functionals Bevan, Jonathan Kružík, Martin Valdman, Jan Analysis of PDEs 49J40, 65K10 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. |
| title | Sharp mean Hadamard inequalities and polyconvex integrands that give rise to convex functionals |
| topic | Analysis of PDEs 49J40, 65K10 |
| url | https://arxiv.org/abs/2604.09672 |