Recent Trends and Views on Elliptic Quasi-Variational Inequalities

DOI10.1007/978-3-030-33116-0_1zbMath1448.49013OpenAlexW2990482487MaRDI QIDQ3294732

Carlos N. Rautenberg, Amal Alphonse, Michael Hintermüller

Publication date: 29 June 2020

Published in: CIM Series in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-33116-0_1

zbMATH Keywords

fixed pointsstrict complementarityMosco convergencegeneralized differentiabilityexistence of fixed pointsp-Laplacianobstaclessemismooth Newton methodnonlinear operatorsGelfand tripleselliptic quasi-variational inequalitiescritical conesmultivalued solution mapsorder approachesregularization approaches

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10)

Related Items (9)

Stability and Sensitivity Analysis for Quasi-Variational Inequalities ⋮ Optimal control and directional differentiability for elliptic quasi-variational inequalities ⋮ On Some Quasi-Variational Inequalities and Other Problems with Moving Sets ⋮ Nondiffusive variational problems with distributional and weak gradient constraints ⋮ Elliptic quasi-variational inequalities under a smallness assumption: uniqueness, differential stability and optimal control ⋮ Directional differentiability for elliptic quasi-variational inequalities of obstacle type ⋮ Stability of the Solution Set of Quasi-variational Inequalities and Optimal Control ⋮ On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities ⋮ On a Fractional Version of a Murat Compactness Result and Applications

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