On the \(\Gamma\)-convergence for multiple integrals depending on vector valued functions

Variational inequalities (49J40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)