Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Marras, Monica"'
In this paper we consider radially symmetric solutions of the following parabolic--elliptic cross-diffusion system \begin{equation*} \begin{cases} u_t = \Delta u - \nabla \cdot (u f(|\nabla v|^2 )\nabla v) + g(u), & \\[2mm] 0= \Delta v -m(t)+ u , \qu
Externí odkaz:
http://arxiv.org/abs/2210.05656
Autor:
Marras, Monica
Publikováno v:
In Applied Mathematics Letters December 2024 158
This paper is concerned with the attraction-repulsion chemotaxis system with superlinear logistic degradation, \begin{align*} \begin{cases} u_t = \Delta u - \chi \nabla\cdot(u \nabla v) + \xi \nabla\cdot (u \nabla w) + \lambda u - \mu u^k, \quad &x \
Externí odkaz:
http://arxiv.org/abs/2104.00212
In this paper we analyze the porous medium equation \begin{equation}\label{ProblemAbstract} \tag{$\Diamond$} %\begin{cases} u_t=\Delta u^m + a\io u^p-b u^q -c\lvert\nabla\sqrt{u}\rvert^2 \quad \textrm{in}\quad \Omega \times I,%\\ %u_\nu-g(u)=0 & \tex
Externí odkaz:
http://arxiv.org/abs/1904.10747
This paper deals with unbounded solutions to the following zero--flux chemotaxis system \begin{equation}\label{ProblemAbstract} \tag{$\Diamond$} \begin{cases} % about u u_t=\nabla \cdot [(u+\alpha)^{m_1-1} \nabla u-\chi u(u+\alpha)^{m_2-2} \nabla v]
Externí odkaz:
http://arxiv.org/abs/1904.03856
We investigate a PDE-constrained optimization problem, with an intuitive interpretation in terms of the design of robust membranes made out of an arbitrary number of different materials. We prove existence and uniqueness of solutions for general smoo
Externí odkaz:
http://arxiv.org/abs/1801.09058
We study a nonlinear, nonhomogeneous elliptic equation with an asymmetric reaction term depending on a positive parameter, coupled with Robin boundary conditions. Under appropriate hypotheses on both the leading differential operator and the reaction
Externí odkaz:
http://arxiv.org/abs/1710.06762
By means of nonsmooth critical point theory, we prove existence of three weak solutions for an ordinary differential inclusion of Sturm-Liouville type involving a general set-valued reaction term depending on a parameter, and coupled with mixed bound
Externí odkaz:
http://arxiv.org/abs/1503.06411
Akademický článek
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Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 438-448 (2019)
First we prove a comparison result for a nonlinear divergence structure elliptic partial differential equation. Next we find an estimate of the solution of a boundary value problem in a domain Ω in terms of the solution of a related symmetric bounda
Externí odkaz:
https://doaj.org/article/e7ab63efca224e69bd7f63ca5d374183