Geodesic
Some New Results about Mosco Convergence
Journal of convex analysis, Tome 28 (2021) no. 2, pp. 387-394
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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.
Classification : 49N99, 35J20, 35J60, 46T99
Mots-clés : Mosco convergence, minimization, integral functionals, continuous dependence, real analysis methods 
@article{JCA_2021_28_2_JCA_2021_28_2_a5,
     author = {L. Boccardo},
     title = {Some {New} {Results} about {Mosco} {Convergence}},
     journal = {Journal of convex analysis},
     pages = {387--394},
     year = {2021},
     volume = {28},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a5/}
}
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L. Boccardo. Some New Results about Mosco Convergence. Journal of convex analysis, Tome 28 (2021) no. 2, pp. 387-394. http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a5/