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  1. ; (, Pure and applied functional analysis)
    We revisit the question of whether the functions defined on the real $$m\times n$$ matrices that are convex along rank-one directions are also quasi-convex in the sense of Morrey. Using the linearity of the map $$f\to \int_{\TT^n} f(\nabla u(x))\,dx$$, we propose to study the question as a problem in convex optimization. This might be useful when trying to resolve the open cases, such as the case $m=2$, or various cases with symmetries. 
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