Optimal Control of Obstacle for Quasi-linear Elliptic Variational Bilateral Problems

DOI10.1137/S0363012904443075zbMath1091.49007OpenAlexW2063317427MaRDI QIDQ5700563

Roger C. E. Tan, Delin Chu, Qihong Chen

Publication date: 28 October 2005

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012904443075

zbMATH Keywords

optimality systemquasi-linear elliptic equationsobstacle optimal controlbilateral variational inequality

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

The existence results for obstacle optimal control problems ⋮ Some optimality conditions of quasilinear elliptic obstacle optimal control problems ⋮ An optimal control problem governed by a Kirchhoff-type variational inequality ⋮ Optimal Obstacle Control Problems Involving Nonsmooth Cost Functionals and Quasilinear Variational Inequalities ⋮ State-constrained optimal control of nonlinear elliptic variational inequalities ⋮ On convergence of solutions to variational-hemivariational inequalities ⋮ Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints ⋮ Optimal control for the infinity obstacle problem

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