Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 28 (2021), No. 2, 387--394Copyright Heldermann Verlag 2021 Some New Results about Mosco Convergence Lucio Boccardo Istituto Lombardo, Sapienza Università di Roma, Italy boccardo@mat.uniroma1.it [Abstract-pdf] We consider the problem $\min\limits_{v\in\,C}J(v)$, where $J$ is the standard integral functional $$J(v) = \int_{\Omega} j(x,{\nabla v}) - \int_{\Omega} f(x)\,v(x),$$ defined in the Sobolev space $W_0^{1,q}(\Omega)$. We study the convergence of the minima $u$ if we perturb the convex set $C$ in accordance with the Mosco convergence. Keywords: Mosco convergence, minimization, integral functionals, continuous dependence, real analysis methods. MSC: 49N99, 35J20, 35J60, 46T99. [ Fulltext-pdf  (100  KB)] for subscribers only.