Some optimal control problems governed by elliptic variational inequalities with control and state constraint on the boundary

DOI10.1023/A:1004613630675zbMath0972.49015OpenAlexW337326627MaRDI QIDQ5925750

Weide Li, Yongcheng Zhao, Gengsheng Wang

Publication date: 19 February 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004613630675

zbMATH Keywords

maximum principlestate constraintsboundary controlelliptic variational inequalities

Mathematics Subject Classification ID

Related Items (11)

Optimal control of magnetohydrodynamic equations with state constraint ⋮ Optimal control of damped Klein-Gordon equations with state constraints ⋮ Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint ⋮ State-constrained optimal control of nonlinear elliptic variational inequalities ⋮ Topological properties of Henig globally efficient solutions of set-valued problems ⋮ The relationship between two kinds of generalized convex set-valued maps in real ordered linear spaces ⋮ Double obstacle control problem for a quasilinear elliptic variational inequality with source term ⋮ Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints ⋮ Maximum principle for state-constrained control of some semilinear parabolic differential equations ⋮ State-constrained optimal control governed by elliptic differential equations in unbounded domains ⋮ Pontryagin's maximum principle for optimal control of the stationary Navier--Stokes equations

Cites Work

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• Maximum principle for state-constrained optimal control problems governed by quasilinear elliptic equations
• Analysis and control of nonlinear infinite dimensional systems
• Boundary control problems for quasi-linear elliptic equations: A Pontryagin's principle
• Optimization and nonsmooth analysis
• State Constrained Control Problems Governed by Variational Inequalities

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