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2026 1

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Quasiconvexity for the Dacorogna--Marcellini Energy

math.AP · 2026-08-06 · conditional · novelty 8.0

For the planar Dacorogna-Marcellini energy, quasiconvexity and rank-one convexity coincide with threshold |γ| ≤ 2/√3, and the same equivalence holds for all SO(2)×SO(2)-invariant quartic polynomials.

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  • Quasiconvexity for the Dacorogna--Marcellini Energy math.AP · 2026-08-06 · conditional · none · ref 8

    For the planar Dacorogna-Marcellini energy, quasiconvexity and rank-one convexity coincide with threshold |γ| ≤ 2/√3, and the same equivalence holds for all SO(2)×SO(2)-invariant quartic polynomials.