Optimal control of the obstacle in a quasilinear elliptic variational inequality

DOI10.1016/j.jmaa.2004.02.035zbMath1044.49008OpenAlexW1969086070MaRDI QIDQ596714

Yuquan Ye, Qihong Chen

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.02.035

zbMATH Keywords

existencequasilinear elliptic equationsnecessary conditionobstacle optimal control problem

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (13)

The existence results for obstacle optimal control problems ⋮ Some optimality conditions of quasilinear elliptic obstacle optimal control problems ⋮ Bilateral obstacle optimal control for a quasilinear elliptic variational inequality with a source term ⋮ An optimal control problem governed by a Kirchhoff-type variational inequality ⋮ An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆ ⋮ Convergence of distributed optimal control problems governed by elliptic variational inequalities ⋮ Optimal Obstacle Control Problems Involving Nonsmooth Cost Functionals and Quasilinear Variational Inequalities ⋮ Optimal control of high-order elliptic obstacle problem ⋮ Existence, uniqueness, and convergence of optimal control problems associated with parabolic variational inequalities of the second kind ⋮ The existence results for optimal control problems governed by a variational inequality ⋮ Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints ⋮ Optimal control problems governed by a variational inequality via nonlinear Lagrangian methods ⋮ Optimal control of unilateral obstacle problem with a source term

Cites Work

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• Optimal control of the obstacle for an elliptic variational inequality
• Optimal control of the obstacle for a parabolic variational inequality
• Optimal control of the obstacle in semilinear variational inequalities
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• Optimal Control of Bilateral Obstacle Problems
• An Optimal Control Problem Governed by Quasi-Linear Variational Inequalities
• Indirect Obstacle Control Problem for Semilinear Elliptic Variational Inequalities
• On the regularity of an obstacle control problem

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