Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
On Legendre and Weierstrass conditions in one-dimensional variational problems. / Sychev, M. A.; Sycheva, N. N.
в: Journal of Convex Analysis, Том 24, № 1, 01.01.2017, стр. 123-133.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On Legendre and Weierstrass conditions in one-dimensional variational problems
AU - Sychev, M. A.
AU - Sycheva, N. N.
N1 - Publisher Copyright: © Heldermann Verlag.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - In this paper we show that classical conditions of Legendre and Weierstrass characterize lower semicontinuity of the correspondent integral functional in appropriate classes of functions. A strengthened version of these conditions characterize the property of the functional of convergence in energy.
AB - In this paper we show that classical conditions of Legendre and Weierstrass characterize lower semicontinuity of the correspondent integral functional in appropriate classes of functions. A strengthened version of these conditions characterize the property of the functional of convergence in energy.
KW - Convergence in energy
KW - Convexity at a point
KW - Integral functionals
KW - Legendre condition
KW - Lower semicontinuity
KW - Strict convexity at a point
KW - Weierstrass condition
KW - Young measures
UR - http://www.scopus.com/inward/record.url?scp=85015089491&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85015089491
VL - 24
SP - 123
EP - 133
JO - Journal of Convex Analysis
JF - Journal of Convex Analysis
SN - 0944-6532
IS - 1
ER -
ID: 10274288