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Second derivatives of solutions of some variational inequalities connected with elliptic nondiagonal systems. / Arkhipova, A. A.

In: Journal of Soviet Mathematics, Vol. 64, No. 6, 01.05.1993, p. 1225-1233.

Research output: Contribution to journal › Article › peer-review

Harvard

Arkhipova, AA 1993, 'Second derivatives of solutions of some variational inequalities connected with elliptic nondiagonal systems', Journal of Soviet Mathematics, vol. 64, no. 6, pp. 1225-1233. https://doi.org/10.1007/BF01098014

APA

Arkhipova, A. A. (1993). Second derivatives of solutions of some variational inequalities connected with elliptic nondiagonal systems. Journal of Soviet Mathematics, 64(6), 1225-1233. https://doi.org/10.1007/BF01098014

Vancouver

Arkhipova AA. Second derivatives of solutions of some variational inequalities connected with elliptic nondiagonal systems. Journal of Soviet Mathematics. 1993 May 1;64(6):1225-1233. https://doi.org/10.1007/BF01098014

Author

Arkhipova, A. A. / Second derivatives of solutions of some variational inequalities connected with elliptic nondiagonal systems. In: Journal of Soviet Mathematics. 1993 ; Vol. 64, No. 6. pp. 1225-1233.

BibTeX

@article{10579a85555f4bc59e026a535133bb39,
title = "Second derivatives of solutions of some variational inequalities connected with elliptic nondiagonal systems",
abstract = "Variational inequalities connected with linear elliptic systems of general form are considered. The vector-valued functions, satisfying the variational inequalities in the domain of definition, take values in an arbitrary fixed convex set of the space RN, N>1. It is shown that the second derivatives of the solutions belong to the space L2,α. An analogous result for a problem with a constraint of special form on the boundary of the domain (the classical Signorini problem) was obtained earlier by Kinderlehrer.",
author = "Arkhipova, {A. A.}",
year = "1993",
month = may,
day = "1",
doi = "10.1007/BF01098014",
language = "English",
volume = "64",
pages = "1225--1233",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Second derivatives of solutions of some variational inequalities connected with elliptic nondiagonal systems

AU - Arkhipova, A. A.

PY - 1993/5/1

Y1 - 1993/5/1

N2 - Variational inequalities connected with linear elliptic systems of general form are considered. The vector-valued functions, satisfying the variational inequalities in the domain of definition, take values in an arbitrary fixed convex set of the space RN, N>1. It is shown that the second derivatives of the solutions belong to the space L2,α. An analogous result for a problem with a constraint of special form on the boundary of the domain (the classical Signorini problem) was obtained earlier by Kinderlehrer.

AB - Variational inequalities connected with linear elliptic systems of general form are considered. The vector-valued functions, satisfying the variational inequalities in the domain of definition, take values in an arbitrary fixed convex set of the space RN, N>1. It is shown that the second derivatives of the solutions belong to the space L2,α. An analogous result for a problem with a constraint of special form on the boundary of the domain (the classical Signorini problem) was obtained earlier by Kinderlehrer.

UR - http://www.scopus.com/inward/record.url?scp=34250084095&partnerID=8YFLogxK

U2 - 10.1007/BF01098014

DO - 10.1007/BF01098014

M3 - Article

AN - SCOPUS:34250084095

VL - 64

SP - 1225

EP - 1233

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 51918863