By Gianni Dal Maso
The final twentyfive years have visible an expanding curiosity for variational convergences and for his or her purposes to diversified fields, like homogenization idea, part transitions, singular perturbations, boundary price difficulties in wildly perturbed domain names, approximation of variatonal difficulties, and non delicate research. between variational convergences, De Giorgi's r-convergence performs a cen tral function for its compactness houses and for the big variety of effects touching on r -limits of necessary functionals. in addition, just about all different varia tional convergences could be simply expressed within the language of r -convergence. this article originates from the notes of the classes on r -convergence held by way of the writer in Trieste on the foreign institution for complex reviews (S. I. S. S. A. ) throughout the educational years 1983-84,1986-87, 1990-91, and in Rome on the Istituto Nazionale di Alta Matematica (I. N. D. A. M. ) through the spring of 1987. this article is much from being a treatise on r -convergence and its appli cations.
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