Inverse Quasiconvexification

In the context of Calculus Variations for non-convex, vector variational problems, natural process going from a function $$\phi $$ to its quasiconvexification $$Q\phi is quite involved, and, most time, an impossible task. We propose look at reverse process, what might be called inverse quasiconvexification: start _0$$ , and find functions which _0=Q\phi . addition establishing few general principles, we show several explicit examples motivated by their application problems in conductivity.