Dal Maso, GianniDonati, Davide2022-12-292022-12-292022-12-14https://openscience.sissa.it/handle/1963/35455Preprin SISSA 20/2022/MATEWe study the asymptotic behavior of solutions to elliptic equations of the form (div(Akruk) = fk in ;uk = wk on @; where Rn is a bounded open set, wk is weakly converging in H1(), fk is weakly converging in H1(), and Ak is a sequence square matrices satisfying some uniform ellipticity and boundedness conditions, and H-converging in . In particular, we characterize the weak limits of the solutions uk and of their momenta Akruk . When Ak is symmetric and wk = w = 0, we characterize the limits of the energies for the solutions.enElliptic equationsG-convergenceH-convergence�-convergenceGamma-convergence of quadratic functionals perturbed by bounded linear functionalsPreprint