# Unilateral problems for elliptic systems with gradient constraints

Banach Center Publications (1992)

- Volume: 27, Issue: 2, page 425-445
- ISSN: 0137-6934

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topRozhkovskaya, T.. "Unilateral problems for elliptic systems with gradient constraints." Banach Center Publications 27.2 (1992): 425-445. <http://eudml.org/doc/262607>.

@article{Rozhkovskaya1992,

author = {Rozhkovskaya, T.},

journal = {Banach Center Publications},

keywords = {variational inequalities; penalty method; regularization},

language = {eng},

number = {2},

pages = {425-445},

title = {Unilateral problems for elliptic systems with gradient constraints},

url = {http://eudml.org/doc/262607},

volume = {27},

year = {1992},

}

TY - JOUR

AU - Rozhkovskaya, T.

TI - Unilateral problems for elliptic systems with gradient constraints

JO - Banach Center Publications

PY - 1992

VL - 27

IS - 2

SP - 425

EP - 445

LA - eng

KW - variational inequalities; penalty method; regularization

UR - http://eudml.org/doc/262607

ER -

## References

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- [11] D. Kinderlehrer, The smoothness of the solution of the boundary obstacle problem, J. Math. Pures Appl. 60 (1981), 193-212. Zbl0459.35092
- [12] D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Acad. Press, New York 1980. Zbl0457.35001
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- [14] H. Lewy and G. Stampacchia, On the regularity of the solution of a variational inequality, Comm. Pure Appl. Math. 22 (1969), 153-188. Zbl0167.11501
- [15] J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris 1969. Zbl0189.40603
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- [18] T. N. Rozhkovskaya, On one-sided problems for non-linear operators with convex constraints on the gradient of the solution, Dokl. Akad. Nauk SSSR 268 (1983), 38-41 (in Russian). English transl. in Soviet Math. Dokl. 27 (1983). Zbl0536.35027
- [19] T. N. Rozhkovskaya, The regularity theorem for a unilateral problem with the convex constraints on the gradient of the solution, in: Problemy Mat. Anal. 9, Izdat. Leningrad. Univ., Leningrad 1984, 166-171; English transl. in J. Soviet Math. 35 (1) (1986). Zbl0643.35031
- [20] T. N. Rozhkovskaya, Unilateral problems for elliptic operators with convex constraints on the gradient of the solution, Sibirsk. Mat. Zh. 26 (3) (1985), 134-146 and 26 (5) (1985), 150-158 (in Russian). Zbl0598.35049
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