Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria Singular analysis of the optimizers of the principal eigenvalue in indefinite weighted Neumann problems. (English) Zbl 1521.49036 SIAM J. Math. Anal. 55, No. 4, 4162-4192 (2023). MSC: 49R05 49Q10 92D25 47A75 35B40 PDFBibTeX XMLCite \textit{D. Mazzoleni} et al., SIAM J. Math. Anal. 55, No. 4, 4162--4192 (2023; Zbl 1521.49036) Full Text: DOI arXiv
Ferreri, Lorenzo; Verzini, Gianmaria Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions. (English) Zbl 1496.49013 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113103, 25 p. (2022). MSC: 49K30 49R05 92D25 47A75 35B40 PDFBibTeX XMLCite \textit{L. Ferreri} and \textit{G. Verzini}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113103, 25 p. (2022; Zbl 1496.49013) Full Text: DOI arXiv
Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria Quantitative analysis of a singularly perturbed shape optimization problem in a polygon. (English) Zbl 1448.92234 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 275-283 (2020). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{D. Mazzoleni} et al., MATRIX Book Ser. 3, 275--283 (2020; Zbl 1448.92234) Full Text: DOI arXiv
Mazzoleni, Dario; Pellacci, Benedetta; Verzini, Gianmaria Asymptotic spherical shapes in some spectral optimization problems. (English. French summary) Zbl 1433.49059 J. Math. Pures Appl. (9) 135, 256-283 (2020). MSC: 49R05 49Q10 92D25 35P15 47A75 PDFBibTeX XMLCite \textit{D. Mazzoleni} et al., J. Math. Pures Appl. (9) 135, 256--283 (2020; Zbl 1433.49059) Full Text: DOI arXiv
Pellacci, Benedetta; Verzini, Gianmaria Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems. (English) Zbl 1390.35404 J. Math. Biol. 76, No. 6, 1357-1386 (2018). MSC: 35R11 35P15 47A75 92D25 PDFBibTeX XMLCite \textit{B. Pellacci} and \textit{G. Verzini}, J. Math. Biol. 76, No. 6, 1357--1386 (2018; Zbl 1390.35404) Full Text: DOI arXiv