Properties of solutions to porous medium problems with different sources and boundary conditions T Li, N Pintus, G Viglialoro Zeitschrift für angewandte Mathematik und Physik 70, 1-18, 2019 | 278 | 2019 |
Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime T Li, G Viglialoro | 178 | 2021 |
Very weak global solutions to a parabolic–parabolic chemotaxis-system with logistic source G Viglialoro Journal of Mathematical Analysis and Applications 439 (1), 197-212, 2016 | 103 | 2016 |
Combining effects ensuring boundedness in an attraction–repulsion chemotaxis model with production and consumption T Li, S Frassu, G Viglialoro Zeitschrift für angewandte Mathematik und Physik 74 (3), 109, 2023 | 73 | 2023 |
Boundedness properties of very weak solutions to a fully parabolic chemotaxis-system with logistic source G Viglialoro Nonlinear Analysis: Real World Applications 34, 520-535, 2017 | 67 | 2017 |
Analysis and explicit solvability of degenerate tensorial problems T Li, G Viglialoro Boundary Value Problems 2018, 1-13, 2018 | 46 | 2018 |
Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent S Frassu, G Viglialoro Nonlinear Analysis 213, 112505, 2021 | 45 | 2021 |
Boundedness for a fully parabolic Keller–Segel model with sublinear segregation and superlinear aggregation S Frassu, G Viglialoro Acta Applicandae Mathematicae 171, 1-20, 2021 | 42 | 2021 |
Boundedness in a parabolic‐elliptic chemotaxis system with nonlinear diffusion and sensitivity and logistic source G Viglialoro, TE Woolley Mathematical Methods in the Applied Sciences 41 (5), 1809-1824, 2018 | 41 | 2018 |
Global existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivity J Lankeit, G Viglialoro Acta Applicandae Mathematicae 167 (1), 75-97, 2020 | 40 | 2020 |
Improvements and generalizations of results concerning attraction‐repulsion chemotaxis models S Frassu, T Li, G Viglialoro Mathematical Methods in the Applied Sciences 45 (17), 11067-11078, 2022 | 39 | 2022 |
Solvability of a Keller–Segel system with signal-dependent sensitivity and essentially sublinear production G Viglialoro, TE Woolley Applicable Analysis 99 (14), 2507-2525, 2020 | 39 | 2020 |
Boundedness in a nonlinear attraction-repulsion Keller–Segel system with production and consumption S Frassu, C van der Mee, G Viglialoro Journal of Mathematical Analysis and Applications 504 (2), 125428, 2021 | 37 | 2021 |
Blow‐up phenomena in chemotaxis systems with a source term M Marras, S Vernier‐Piro, G Viglialoro Mathematical Methods in the Applied Sciences 39 (11), 2787-2798, 2016 | 35 | 2016 |
Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth G Viglialoro, TE Woolley Discrete Contin. Dyn. Syst. Ser. B 23 (8), 3023-3045, 2018 | 33 | 2018 |
Explicit lower bound of blow–up time for an attraction–repulsion chemotaxis system G Viglialoro Journal of Mathematical Analysis and Applications 479 (1), 1069-1077, 2019 | 32 | 2019 |
Uniform in time -estimates for an attraction-repulsion chemotaxis system with double saturation S Frassu, RR Galván, G Viglialoro arXiv preprint arXiv:2106.07038, 2021 | 26 | 2021 |
Lower bounds for blow-up time in a parabolic problem with a gradient term under various boundary conditions M Marras, SV Piro, G Viglialoro Kodai Mathematical Journal 37 (3), 532-543, 2014 | 26 | 2014 |
Refined criteria toward boundedness in an attraction–repulsion chemotaxis system with nonlinear productions A Columbu, S Frassu, G Viglialoro Applicable Analysis 103 (2), 415-431, 2024 | 25 | 2024 |
Boundedness criteria for a class of indirect (and direct) chemotaxis-consumption models in high dimensions S Frassu, G Viglialoro Applied Mathematics Letters 132, 108108, 2022 | 25 | 2022 |