Journal of Soviet Mathematics

, Volume 40, Issue 5, pp 591–598

Regularity of the solutions of diagonal elliptic systems under convex constraints on the boundary of the domain

Authors

  • A. A. Arkhipova
  • N. N. Ural'tseva
Article

DOI: 10.1007/BF01094182

Cite this article as:
Arkhipova, A.A. & Ural'tseva, N.N. J Math Sci (1988) 40: 591. doi:10.1007/BF01094182

Abstract

One investigates the smoothness of the solutions of variational inequalities, connected with second-order linear diagonal elliptic systems under convex constraints on the solution at the boundary of the domain. One establishes the Holder continuity of the first derivatives of the solutions up to the boundary of the domain.

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Copyright information

© Plenum Publishing Corporation 1988