Chiyo, Yutaro; Düzgün, Fatma Gamze; Frassu, Silvia; Viglialoro, Giuseppe Boundedness through nonlocal dampening effects in a fully parabolic chemotaxis model with sub and superquadratic growth. (English) Zbl 07783071 Appl. Math. Optim. 89, No. 1, Paper No. 9, 21 p. (2024). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Chiyo} et al., Appl. Math. Optim. 89, No. 1, Paper No. 9, 21 p. (2024; Zbl 07783071) Full Text: DOI arXiv OA License
Chiyo, Yutaro; Frassu, Silvia; Viglialoro, Giuseppe A nonlinear attraction-repulsion Keller-Segel model with double sublinear absorptions: criteria toward boundedness. (English) Zbl 1518.35082 Commun. Pure Appl. Anal. 22, No. 6, 1783-1809 (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Chiyo} et al., Commun. Pure Appl. Anal. 22, No. 6, 1783--1809 (2023; Zbl 1518.35082) Full Text: DOI arXiv
Li, Tongxing; Frassu, Silvia; Viglialoro, Giuseppe Combining effects ensuring boundedness in an attraction-repulsion chemotaxis model with production and consumption. (English) Zbl 1518.35594 Z. Angew. Math. Phys. 74, No. 3, Paper No. 109, 21 p. (2023). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B40 PDFBibTeX XMLCite \textit{T. Li} et al., Z. Angew. Math. Phys. 74, No. 3, Paper No. 109, 21 p. (2023; Zbl 1518.35594) Full Text: DOI arXiv
Frassu, Silvia; Rodríguez, Galván Rafael; Viglialoro, Giuseppe Uniform in time \(L^\infty \)-estimates for an attraction-repulsion chemotaxis model with double saturation. (English) Zbl 1504.35093 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1886-1904 (2023). MSC: 35B45 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{S. Frassu} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 1886--1904 (2023; Zbl 1504.35093) Full Text: DOI
Frassu, Silvia; Viglialoro, Giuseppe Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models in high dimensions. (English) Zbl 1491.35078 Appl. Math. Lett. 132, Article ID 108108, 7 p. (2022). MSC: 35B45 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{S. Frassu} and \textit{G. Viglialoro}, Appl. Math. Lett. 132, Article ID 108108, 7 p. (2022; Zbl 1491.35078) Full Text: DOI
Viglialoro, Giuseppe Influence of nonlinear production on the global solvability of an attraction-repulsion chemotaxis system. (English) Zbl 1523.35078 Math. Nachr. 294, No. 12, 2441-2454 (2021). MSC: 35B44 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{G. Viglialoro}, Math. Nachr. 294, No. 12, 2441--2454 (2021; Zbl 1523.35078) Full Text: DOI
Frassu, Silvia; Viglialoro, Giuseppe Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent. (English) Zbl 1473.35076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112505, 16 p. (2021). MSC: 35B45 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{S. Frassu} and \textit{G. Viglialoro}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112505, 16 p. (2021; Zbl 1473.35076) Full Text: DOI arXiv
Frassu, Silvia; van der Mee, Cornelis; Viglialoro, Giuseppe Boundedness in a nonlinear attraction-repulsion Keller-Segel system with production and consumption. (English) Zbl 1473.35597 J. Math. Anal. Appl. 504, No. 2, Article ID 125428, 20 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B40 92C17 35B41 PDFBibTeX XMLCite \textit{S. Frassu} et al., J. Math. Anal. Appl. 504, No. 2, Article ID 125428, 20 p. (2021; Zbl 1473.35597) Full Text: DOI
Frassu, Silvia; Viglialoro, Giuseppe Boundedness for a fully parabolic Keller-Segel model with sublinear segregation and superlinear aggregation. (English) Zbl 1469.35111 Acta Appl. Math. 171, Paper No. 19, 21 p. (2021). MSC: 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{S. Frassu} and \textit{G. Viglialoro}, Acta Appl. Math. 171, Paper No. 19, 21 p. (2021; Zbl 1469.35111) Full Text: DOI arXiv
Viglialoro, Giuseppe Global in time and bounded solutions to a parabolic-elliptic chemotaxis system with nonlinear diffusion and signal-dependent sensitivity. (English) Zbl 1465.35006 Appl. Math. Optim. 83, No. 2, 979-1004 (2021). MSC: 35A01 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{G. Viglialoro}, Appl. Math. Optim. 83, No. 2, 979--1004 (2021; Zbl 1465.35006) Full Text: DOI
Viglialoro, Giuseppe; Woolley, Thomas E. Solvability of a Keller-Segel system with signal-dependent sensitivity and essentially sublinear production. (English) Zbl 1447.35009 Appl. Anal. 99, No. 14, 2507-2525 (2020). MSC: 35A01 35K59 92C17 35K51 PDFBibTeX XMLCite \textit{G. Viglialoro} and \textit{T. E. Woolley}, Appl. Anal. 99, No. 14, 2507--2525 (2020; Zbl 1447.35009) Full Text: DOI arXiv
Lankeit, Johannes; Viglialoro, Giuseppe Global existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivity. (English) Zbl 1439.35243 Acta Appl. Math. 167, 75-97 (2020). MSC: 35K55 35Q92 35A01 35K51 92C17 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{G. Viglialoro}, Acta Appl. Math. 167, 75--97 (2020; Zbl 1439.35243) Full Text: DOI arXiv Link
Marras, Monica; Vernier-Piro, Stella; Viglialoro, Giuseppe Decay in chemotaxis systems with a logistic term. (English) Zbl 1442.35476 Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 257-268 (2020). MSC: 35Q92 92C17 35B40 35K51 PDFBibTeX XMLCite \textit{M. Marras} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 257--268 (2020; Zbl 1442.35476) Full Text: DOI
Marras, Monica; Nishino, Teruto; Viglialoro, Giuseppe A refined criterion and lower bounds for the blow-up time in a parabolic-elliptic chemotaxis system with nonlinear diffusion. (English) Zbl 1437.35674 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111725, 15 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 35K55 92C17 PDFBibTeX XMLCite \textit{M. Marras} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111725, 15 p. (2020; Zbl 1437.35674) Full Text: DOI arXiv
Viglialoro, Giuseppe Explicit lower bound of blow-up time for an attraction-repulsion chemotaxis system. (English) Zbl 1428.35058 J. Math. Anal. Appl. 479, No. 1, 1069-1077 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35B44 35Q92 92C17 PDFBibTeX XMLCite \textit{G. Viglialoro}, J. Math. Anal. Appl. 479, No. 1, 1069--1077 (2019; Zbl 1428.35058) Full Text: DOI arXiv
Li, Tongxing; Pintus, Nicola; Viglialoro, Giuseppe Properties of solutions to porous medium problems with different sources and boundary conditions. (English) Zbl 1415.35156 Z. Angew. Math. Phys. 70, No. 3, Paper No. 86, 18 p. (2019). MSC: 35K55 35K57 35A01 35Q35 76S05 PDFBibTeX XMLCite \textit{T. Li} et al., Z. Angew. Math. Phys. 70, No. 3, Paper No. 86, 18 p. (2019; Zbl 1415.35156) Full Text: DOI arXiv
Viglialoro, Giuseppe Global existence in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity. (English) Zbl 1410.35253 Appl. Math. Lett. 91, 121-127 (2019). MSC: 35Q92 92C17 35A01 PDFBibTeX XMLCite \textit{G. Viglialoro}, Appl. Math. Lett. 91, 121--127 (2019; Zbl 1410.35253) Full Text: DOI arXiv
Viglialoro, Giuseppe; Woolley, Thomas E. Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth. (English) Zbl 1409.35046 Discrete Contin. Dyn. Syst., Ser. B 23, No. 8, 3023-3045 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35B65 35B40 92C17 35K51 35K59 PDFBibTeX XMLCite \textit{G. Viglialoro} and \textit{T. E. Woolley}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 8, 3023--3045 (2018; Zbl 1409.35046) Full Text: DOI
Viglialoro, G. Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source. (English) Zbl 1355.35094 Nonlinear Anal., Real World Appl. 34, 520-535 (2017). MSC: 35K45 35D30 35B65 35Q92 PDFBibTeX XMLCite \textit{G. Viglialoro}, Nonlinear Anal., Real World Appl. 34, 520--535 (2017; Zbl 1355.35094) Full Text: DOI
Viglialoro, Giuseppe Explicit blow-up time for two porous medium problems with different reaction terms. (English) Zbl 1402.35053 Ortegón Gallego, Francisco (ed.) et al., Trends in differential equations and applications. Selected papers based on the presentations at the XXIVth congress on differential equations and applications/XIVth congress on applied mathematics, Cádiz, Spain, June 8–12, 2015. Cham: Springer (ISBN 978-3-319-32012-0/hbk; 978-3-319-32013-7/ebook). SEMA SIMAI Springer Series 8, 147-167 (2016). MSC: 35B44 35K65 35K59 76S05 PDFBibTeX XMLCite \textit{G. Viglialoro}, SEMA SIMAI Springer Ser. 8, 147--167 (2016; Zbl 1402.35053) Full Text: DOI
Marras, Monica; Vernier-Piro, Stella; Viglialoro, Giuseppe Blow-up phenomena in chemotaxis systems with a source term. (English) Zbl 1342.35137 Math. Methods Appl. Sci. 39, No. 11, 2787-2798 (2016). MSC: 35K40 35K55 35B44 35Q92 92C17 PDFBibTeX XMLCite \textit{M. Marras} et al., Math. Methods Appl. Sci. 39, No. 11, 2787--2798 (2016; Zbl 1342.35137) Full Text: DOI
Viglialoro, G. Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source. (English) Zbl 1386.35163 J. Math. Anal. Appl. 439, No. 1, 197-212 (2016). MSC: 35K51 35Q92 35D30 92C17 PDFBibTeX XMLCite \textit{G. Viglialoro}, J. Math. Anal. Appl. 439, No. 1, 197--212 (2016; Zbl 1386.35163) Full Text: DOI
Viglialoro, Giuseppe; Piro, Stella Vernier; Marras, Monica Lower bounds for blow-up in a parabolic-parabolic Keller-Segel system. (English) Zbl 1381.35194 Discrete Contin. Dyn. Syst. 2015, Suppl., 809-816 (2015). MSC: 35Q92 35K55 35B44 92C17 PDFBibTeX XMLCite \textit{G. Viglialoro} et al., Discrete Contin. Dyn. Syst. 2015, 809--816 (2015; Zbl 1381.35194) Full Text: DOI