Some optimality conditions of quasilinear elliptic obstacle optimal control problems

Yuquan Ye; Chi Kin Chan; B. P.K. Leung

doi:10.1016/j.amc.2006.11.038

Some optimality conditions of quasilinear elliptic obstacle optimal control problems

Yuquan Ye, Chi Kin Chan, B. P.K. Leung

Research output: Journal article publication › Journal article › Academic research › peer-review

3 Citations (Scopus)

Abstract

This paper is concerned with an obstacle optimal control problem for a quasilinear elliptic variational inequality with a source term. The pth power of Laplacian of the obstacle appears in the cost functional. This feature leads that it is hard to derive the optimality system for the underlying problem. The existence for the optimal control is proved and we also show how to obtain optimality system using a passage to the limit in the approximation process.

Original language	English
Pages (from-to)	1757-1771
Number of pages	15
Journal	Applied Mathematics and Computation
Volume	188
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.11.038
Publication status	Published - 15 May 2007

Keywords

Existence
Necessary condition
Obstacle optimal control

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1016/j.amc.2006.11.038

Cite this

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AB - This paper is concerned with an obstacle optimal control problem for a quasilinear elliptic variational inequality with a source term. The pth power of Laplacian of the obstacle appears in the cost functional. This feature leads that it is hard to derive the optimality system for the underlying problem. The existence for the optimal control is proved and we also show how to obtain optimality system using a passage to the limit in the approximation process.

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KW - Necessary condition

KW - Obstacle optimal control

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Some optimality conditions of quasilinear elliptic obstacle optimal control problems

Abstract

Keywords

ASJC Scopus subject areas

More information

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