Abstract
A convergence condition for the values and solutions of a sequence of problems in the minimization of linearly disturbed convex functionals defined over nonreflexive spaces is presented. The result is applied to the averaging problem in an elastoplastic medium.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
V. V. Zhikov, “Questions of convergence, duality, and averaging for functionals of the calculus of variations,” Izv. Akad. Nauk. Ser. Matematika, No. 5, 961–998 (1983).
E. De Giorgi and T. Franzoni, “On a type of variational convergence,” Atti Acc. Naz. Lincei,58, No. 6, 842–850 (1975).
U. Mosco, “On the continuity of the Young-Fenchel transform,” J. Math. Analysis and Appl.,35, 518–535 (1971).
A. D. Ioffe and V. M. Tikhomirov, Theory of Extremal Problems [in Russian], Nauka, Moscow (1974).
O. O. Barabanov, “On averaging of elastoplastic media in the case of volume loads,” Differents. Urav.,25, No. 6, 1043–1045 (1989).
G. Bouchitte, “Uniformity on BV(Ω) of integral linearly increasing functionals. Application to the analysis of plasticity limit problems,” C. R. Acad. Sci. Paris. Ser. 1,301, No. 17, 785–788 (1987).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 52, No. 3, pp. 3–9, September, 1992.
Rights and permissions
About this article
Cite this article
Barabanov, O.O. Convergence of variational characteristics. Math Notes 52, 869–874 (1992). https://doi.org/10.1007/BF01209605
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01209605