Standard

Limit smoothness of the solutions of variational inequalities under convex constraints on the boundary of the domain. / Arkhipova, A. A.; Ural'tseva, N. N.

In: Journal of Soviet Mathematics, Vol. 49, No. 5, 01.05.1990, p. 1121-1128.

Research output: Contribution to journalArticlepeer-review

Harvard

APA

Vancouver

Author

BibTeX

@article{cd8c368fc19e4d25ad1c27b28dda08a8,
title = "Limit smoothness of the solutions of variational inequalities under convex constraints on the boundary of the domain",
abstract = "Variational inequalities, connected with quasilinear elliptic systems with a diagonal principal part and a quadratic growth along the gradient, are considered. On the boundary of the domain convex constraints are imposed on the solution. The H{\"o}lder continuity of the solution up to the boundary of the domain is proved.",
author = "Arkhipova, {A. A.} and Ural'tseva, {N. N.}",
year = "1990",
month = may,
day = "1",
doi = "10.1007/BF02208707",
language = "English",
volume = "49",
pages = "1121--1128",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Limit smoothness of the solutions of variational inequalities under convex constraints on the boundary of the domain

AU - Arkhipova, A. A.

AU - Ural'tseva, N. N.

PY - 1990/5/1

Y1 - 1990/5/1

N2 - Variational inequalities, connected with quasilinear elliptic systems with a diagonal principal part and a quadratic growth along the gradient, are considered. On the boundary of the domain convex constraints are imposed on the solution. The Hölder continuity of the solution up to the boundary of the domain is proved.

AB - Variational inequalities, connected with quasilinear elliptic systems with a diagonal principal part and a quadratic growth along the gradient, are considered. On the boundary of the domain convex constraints are imposed on the solution. The Hölder continuity of the solution up to the boundary of the domain is proved.

UR - http://www.scopus.com/inward/record.url?scp=34249962786&partnerID=8YFLogxK

U2 - 10.1007/BF02208707

DO - 10.1007/BF02208707

M3 - Article

AN - SCOPUS:34249962786

VL - 49

SP - 1121

EP - 1128

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 37277154