Matematičeskie zametki, Tome 7 (1970) no. 1, pp. 69-78
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V. N. Koshelev; S. F. Morozov. Existence of discontinuous solutions for simplest semidefinite problems of variational calculus. Matematičeskie zametki, Tome 7 (1970) no. 1, pp. 69-78. http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a7/
@article{MZM_1970_7_1_a7,
author = {V. N. Koshelev and S. F. Morozov},
title = {Existence of discontinuous solutions for simplest semidefinite problems of variational calculus},
journal = {Matemati\v{c}eskie zametki},
pages = {69--78},
year = {1970},
volume = {7},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a7/}
}
TY - JOUR
AU - V. N. Koshelev
AU - S. F. Morozov
TI - Existence of discontinuous solutions for simplest semidefinite problems of variational calculus
JO - Matematičeskie zametki
PY - 1970
SP - 69
EP - 78
VL - 7
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a7/
LA - ru
ID - MZM_1970_7_1_a7
ER -
%0 Journal Article
%A V. N. Koshelev
%A S. F. Morozov
%T Existence of discontinuous solutions for simplest semidefinite problems of variational calculus
%J Matematičeskie zametki
%D 1970
%P 69-78
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_1_a7/
%G ru
%F MZM_1970_7_1_a7
An existence theorem is proved for discontinuous solutions of a semidefinite quasiregular variational problem concerned with determining $\inf J[y]$, in which the expression under the integral sign is of a special form.