Non-periodic Gamma-convergence: application to a main example of a non-finer oscillation operator in higher dimension
2012 - P. Pedregal, H. Serrano
Analysis and Applications. 10, 67-90 (2012)
Abtract
We generalize, to a higher dimension, a main example of an operator that enjoys the NFO property introduced recently in [13]. It turns out that this issue is intimately connected to ?-convergence of functionals in a non-periodic, general setting. Under a main structural assumption on the sequence of functionals, the ?-convergence limit is computable. As a consequence of our analysis, we obtain the generalization just mentioned, opening thus the way to treat the existence for some nonlinear PDEs in divergence form. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219530512500042?journalCode=aa