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math.OC2019
Inverse quasiconvexification
Pablo Pedregal
In the context of the Calculus of Variations for non-convex, vector variational problems, the natural process of going from a function to its quasiconvexification is quite…
math.OC2019
Morrey's conjecture: rank-one convexity implies quasi-convexity for two-dimensional, two-component maps
Pablo Pedregal
We prove that for two-component maps in dimension two, rank-one convexity is equivalent to quasiconvexity. The essential tool for the proof is a fixed-point argument for a suitable…