On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind

DOI10.1007/s11228-017-0408-9zbMath1471.47039OpenAlexW2620582087WikidataQ115155120 ScholiaQ115155120MaRDI QIDQ2413574

Michael Hintermüller, Thomas M. Surowiec

Publication date: 14 September 2018

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

Full work available at URL: https://doi.org/10.1007/s11228-017-0408-9

zbMATH Keywords

free boundary problemsvariational analysisgeneralized differentiationPDE-constrained optimizationoptimal control of variational inequalitiesHadamard directional differentiabilityconical differentiabilityvariational inequalities of the second kindcontrol-to-state mapping

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued and variational analysis (49J53) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

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