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Journal of Mathematical Sciences

, Volume 77, Issue 4, pp 3277–3294 | Cite as

Regularity results for quasilinear elliptic systems with nonlinear boundary conditions

  • A. A. Arkhipova
Article

Abstract

It is proved that a solution of the boundary-value problem for a second-order quasilinear system with controlled order of nonlinearity is partially smooth all the way to the boundary of a domain. The boundary condition is imposed by means of a second-order nonlinear operator which can be regarded as a generalization of the “directional derivative” to the case of quasilinear systems. Bibliography: 6 titles.

Keywords

Boundary Condition Elliptic System Nonlinear Operator Nonlinear Boundary Regularity Result 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature Cited

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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • A. A. Arkhipova

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