On optimality conditions in control of elliptic variational inequalities

DOI10.1007/s11228-010-0158-4zbMath1211.49036OpenAlexW1964475646MaRDI QIDQ632234

Jiří Jarušek, A.I.Kozhanov, Jiří V. Outrata

Publication date: 15 March 2011

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-010-0158-4

zbMATH Keywords

capacitycalmnessdirectional differentiabilitycritical conestrong local fuzzy sum rule

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Optimality conditions for problems in abstract spaces (49K27)

Related Items (14)

Strong stationarity conditions for a class of optimization problems governed by variational inequalities of the second kind ⋮ An ℓ 1-Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities ⋮ A bundle-free implicit programming approach for a class of elliptic MPECs in function space ⋮ On regular coderivatives in parametric equilibria with non-unique multipliers ⋮ Comparison of optimality systems for the optimal control of the obstacle problem ⋮ Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints ⋮ Optimal control of a non-smooth semilinear elliptic equation ⋮ Mathematical programs with complementarity constraints in Banach spaces ⋮ The limiting normal cone of a complementarity set in Sobolev spaces ⋮ Second-order sufficient optimality conditions for optimal control of static elastoplasticity with hardening ⋮ Towards M-stationarity for Optimal Control of the Obstacle Problem with Control Constraints ⋮ Shape optimisation with the level set method for contact problems in linearised elasticity ⋮ On the sequential normal compactness condition and its restrictiveness in selected function spaces ⋮ On second-order optimality conditions for optimal control problems governed by the obstacle problem

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