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
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.