General theorems on semicontinuity and on convergence with a functional-Reference-Cited by-同舟云学术

General theorems on semicontinuity and on convergence with a functional

Published:1967-09 Issue:5 Volume:8 Page:801-816
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Reshetnyak Yu. G.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01040656.pdf

Reference5 articles.

1. Yu. G. Reshetnyak, A Convergence Theorem for Functionals on Additive Vector-Valued Set Functions, Sib. Matem. Zh.,2 No. 1, 115–126 (1961).

2. L. Tonelli, Fondamenti di Calcolo delle Variazioni, Vol. I, II, Bologna (1923).

3. Yu. V. Glebskii, Convergence in Area and Convergence by Functional, Matem. Sh.,30(72), 529–542 (1952).

4. S. F. Morozov and V. I. Plotnikov, Necessary and Sufficient Conditions for the Continuity and Semicontinuity of the functionals of the Calculus of Variations, Ibid.57(99), No. 3, 265–280 (1962).

5. S. L. Sobolev, Certain Applications of Functional Analysis in Mathematical Physics [in Russian], Leningrad (1950).

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