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pro vyhledávání: '"Frassu, Silvia"'
This work concerns with a class of chemotaxis models in which external sources, comprising nonlocal and gradient-dependent damping reactions, influence the motion of a cell density attracted by a chemical signal. The mechanism of the two densities is
Externí odkaz:
http://arxiv.org/abs/2406.09861
Autor:
Frassu, Silvia, Viglialoro, Giuseppe
These notes aim to provide a deeper insight on the specifics of the paper "Refined criteria toward boundedness in an attraction-repulsion chemotaxis system with nonlinear productions" by A. Columbu, S. Frassu and G. Viglialoro [\textit{Appl. Anal.} 2
Externí odkaz:
http://arxiv.org/abs/2403.16866
This article deals with a class of chemotaxis systems describing mechanisms from mathematical biology. In the specific, for a rather general class of attraction-repulsion models, with nonlinear productions, diffusion, sensitivities and logistic term,
Externí odkaz:
http://arxiv.org/abs/2311.06526
This work deals with a chemotaxis model where an external source involving a sub and superquadratic growth effect contrasted by nonlocal dampening reaction influences the motion of a cell density attracted by a chemical signal. We study the mechanism
Externí odkaz:
http://arxiv.org/abs/2307.14755
This paper deals with unbounded solutions to a class of chemotaxis systems. In particular, for a rather general attraction-repulsion model, with nonlinear productions, diffusion, sensitivities and logistic term, we detect Lebesgue spaces where given
Externí odkaz:
http://arxiv.org/abs/2303.15039
Autor:
Frassu, Silvia, Iannizzotto, Antonio
We study a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction, which depends on a positive parameter. The reaction is assumed to be (p-1)-sublinear near the origin and (p-1)-superlinear at infinity (i
Externí odkaz:
http://arxiv.org/abs/2212.11339
This paper is framed in a series of studies on attraction-repulsion chemotaxis models combining different effects: nonlinear diffusion and sensitivities and logistic sources, for the dynamics of the cell density, and consumption and/or production imp
Externí odkaz:
http://arxiv.org/abs/2211.03608
We study some zero-flux attraction-repulsion chemotaxis models, with nonlinear production rates for the chemorepellent and the chemoattractant. This paper partially improves some known results in the literature and moreover solves an open question. T
Externí odkaz:
http://arxiv.org/abs/2208.05679
This paper generalizes and extends to the case of nonlinear effects and logistic perturbations some results recently developed in the literature where, for the linear counterpart and in absence of logistics, criteria toward boundedness for an attract
Externí odkaz:
http://arxiv.org/abs/2208.05678
Publikováno v:
In Nonlinear Analysis: Real World Applications October 2024 79