Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands

We consider the class of non-negative rank-one convex isotropic integrands on Rn×n which are also positively p-homogeneous. If p≤n=2 we prove, conditional on the quasiconvexity of the Burkholder integrand, that the integrands in this class are quasiconvex at conformal matrices. If p≥n=2, we show tha...

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Bibliographic Details
Main Authors: Guerra, A, Kristensen, J
Format: Journal article
Language:English
Published: Springer 2022