A new type of functional in the calculus of variations. (Italian. English summary) Zbl 0715.49014

Summary: We study a class of functionals which occur in many problems of mathematical physics and, in particular, in the problem of finding the equilibrium configurations of a mixture of isotropic liquids and liquid crystals.


49J45 Methods involving semicontinuity and convergence; relaxation
49S05 Variational principles of physics
49J10 Existence theories for free problems in two or more independent variables