Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.; Wachsmuth, Gerd Minimal and maximal solution maps of elliptic QVIs: penalisation, Lipschitz stability, differentiability and optimal control. arXiv:2312.13879 Preprint, arXiv:2312.13879 [math.OC] (2023). BibTeX Cite \textit{A. Alphonse} et al., ``Minimal and maximal solution maps of elliptic QVIs: penalisation, Lipschitz stability, differentiability and optimal control'', Preprint, arXiv:2312.13879 [math.OC] (2023) Full Text: arXiv OA License
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Stability and sensitivity analysis for quasi-variational inequalities. (English) Zbl 1502.49007 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 183-210 (2022). MSC: 49J40 49Q12 47J20 49K40 PDFBibTeX XMLCite \textit{A. Alphonse} et al., ISNM, Int. Ser. Numer. Math. 172, 183--210 (2022; Zbl 1502.49007) Full Text: DOI
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Optimal control and directional differentiability for elliptic quasi-variational inequalities. (English) Zbl 07563231 Set-Valued Var. Anal. 30, No. 3, 873-922 (2022). MSC: 47J20 49J21 49J40 49K21 46G05 PDFBibTeX XMLCite \textit{A. Alphonse} et al., Set-Valued Var. Anal. 30, No. 3, 873--922 (2022; Zbl 07563231) Full Text: DOI arXiv
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities. (English) Zbl 1477.49011 J. Math. Anal. Appl. 507, No. 1, Article ID 125732, 19 p. (2022). MSC: 49J40 49J35 PDFBibTeX XMLCite \textit{A. Alphonse} et al., J. Math. Anal. Appl. 507, No. 1, Article ID 125732, 19 p. (2022; Zbl 1477.49011) Full Text: DOI arXiv
Alphonse, Amal; Geiersbach, Caroline; Hintermüller, Michael; Surowiec, Thomas M. Risk-averse optimal control of random elliptic variational inequalities. arXiv:2210.03425 Preprint, arXiv:2210.03425 [math.OC] (2022). BibTeX Cite \textit{A. Alphonse} et al., ``Risk-averse optimal control of random elliptic variational inequalities'', Preprint, arXiv:2210.03425 [math.OC] (2022) Full Text: arXiv OA License
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Stability of the solution set of quasi-variational inequalities and optimal control. (English) Zbl 1516.49004 SIAM J. Control Optim. 58, No. 6, 3508-3532 (2020). MSC: 49J40 49J53 49M15 65J15 65K10 PDFBibTeX XMLCite \textit{A. Alphonse} et al., SIAM J. Control Optim. 58, No. 6, 3508--3532 (2020; Zbl 1516.49004) Full Text: DOI arXiv
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Existence, iteration procedures and directional differentiability for parabolic QVIs. (English) Zbl 1439.49015 Calc. Var. Partial Differ. Equ. 59, No. 3, Paper No. 95, 53 p. (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J40 35K86 49K40 PDFBibTeX XMLCite \textit{A. Alphonse} et al., Calc. Var. Partial Differ. Equ. 59, No. 3, Paper No. 95, 54 p. (2020; Zbl 1439.49015) Full Text: DOI arXiv
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Recent trends and views on elliptic quasi-variational inequalities. (English) Zbl 1448.49013 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 1-31 (2019). Reviewer: Alfred Göpfert (Leipzig) MSC: 49J40 49J53 49K40 47H10 PDFBibTeX XMLCite \textit{A. Alphonse} et al., in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 1--31 (2019; Zbl 1448.49013) Full Text: DOI
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. Directional differentiability for elliptic quasi-variational inequalities of obstacle type. (English) Zbl 1439.49014 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 39, 47 p. (2019). Reviewer: Souvik Roy (Arlington) MSC: 49J40 49J52 49J50 47J20 PDFBibTeX XMLCite \textit{A. Alphonse} et al., Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 39, 47 p. (2019; Zbl 1439.49014) Full Text: DOI arXiv