Mazari, Idriss; Nadin, Grégoire; Privat, Yannick Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate. (English) Zbl 1492.35374 Commun. Partial Differ. Equations 47, No. 4, 797-828 (2022). MSC: 35Q92 92D25 92D40 49J30 49Q10 49M41 35B44 35B36 PDFBibTeX XMLCite \textit{I. Mazari} et al., Commun. Partial Differ. Equations 47, No. 4, 797--828 (2022; Zbl 1492.35374) Full Text: DOI arXiv
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick Shape optimization of a weighted two-phase Dirichlet eigenvalue. (English) Zbl 1480.49047 Arch. Ration. Mech. Anal. 243, No. 1, 95-137 (2022). MSC: 49R05 49Q10 47J10 92D25 PDFBibTeX XMLCite \textit{I. Mazari} et al., Arch. Ration. Mech. Anal. 243, No. 1, 95--137 (2022; Zbl 1480.49047) Full Text: DOI arXiv
Mazari, Idriss; Nadin, Grégoire; Toledo Marrero, Ana Isis Optimisation of the total population size with respect to the initial condition for semilinear parabolic equations: two-scale expansions and symmetrisations. (English) Zbl 1483.35304 Nonlinearity 34, No. 11, 7510-7539 (2021). MSC: 35Q93 35B30 35B65 35K15 35K57 37K58 49Q10 49M41 65K10 90C20 90C59 92D25 35C20 PDFBibTeX XMLCite \textit{I. Mazari} et al., Nonlinearity 34, No. 11, 7510--7539 (2021; Zbl 1483.35304) Full Text: DOI arXiv
Nadin, Grégoire; Toledo Marrero, Ana Isis On the maximization problem for solutions of reaction-diffusion equations with respect to their initial data. (English) Zbl 1469.35025 Math. Model. Nat. Phenom. 15, Paper No. 71, 22 p. (2020). MSC: 35B30 35B45 35B65 35K15 35K57 35Q92 35Q93 92D25 92D30 PDFBibTeX XMLCite \textit{G. Nadin} and \textit{A. I. Toledo Marrero}, Math. Model. Nat. Phenom. 15, Paper No. 71, 22 p. (2020; Zbl 1469.35025) Full Text: DOI
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick Optimal location of resources maximizing the total population size in logistic models. (English. French summary) Zbl 1433.92038 J. Math. Pures Appl. (9) 134, 1-35 (2020). Reviewer: Attila Dénes (Szeged) MSC: 92D25 49K20 35Q92 PDFBibTeX XMLCite \textit{I. Mazari} et al., J. Math. Pures Appl. (9) 134, 1--35 (2020; Zbl 1433.92038) Full Text: DOI arXiv
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. (English) Zbl 1366.49004 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 144, 37 p. (2016). Reviewer: Igor Bock (Bratislava) MSC: 49J15 49K20 49Q10 49R05 49M05 PDFBibTeX XMLCite \textit{J. Lamboley} et al., Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 144, 37 p. (2016; Zbl 1366.49004) Full Text: DOI arXiv
Nadin, Grégoire; Privat, Yannick An extremal eigenvalue problem arising in heat conduction. (English. French summary) Zbl 1339.49036 J. Math. Pures Appl. (9) 105, No. 6, 845-872 (2016). MSC: 49Q10 49R05 49J15 49K15 34B24 34E05 80A20 PDFBibTeX XMLCite \textit{G. Nadin} and \textit{Y. Privat}, J. Math. Pures Appl. (9) 105, No. 6, 845--872 (2016; Zbl 1339.49036) Full Text: DOI