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pro vyhledávání: '"Tellini, Andrea"'
In this paper we consider a superlinear one-dimensional elliptic boundary value problem that generalizes the one studied by Moore and Nehari in [43]. Specifically, we deal with piecewise-constant weight functions in front of the nonlinearity with an
Externí odkaz:
http://arxiv.org/abs/2402.19084
We study the second-order boundary value problem \begin{equation*} \begin{cases} \, -u''=a_{\lambda,\mu}(t) \, u^{2}(1-u), & t\in(0,1), \\ \, u'(0)=0, \quad u'(1)=0, \end{cases} \end{equation*} where $a_{\lambda,\mu}$ is a step-wise indefinite weight
Externí odkaz:
http://arxiv.org/abs/2101.03313
Publikováno v:
Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2021, 213, pp.42
In this paper, we investigate propagation phenomena for KPP bulk-surface systems in a cylindrical domain with general section and heterogeneous coefficients. As for the scalar KPP equation, we show that the asymptotic spreading speed of solutions can
Externí odkaz:
http://arxiv.org/abs/2006.14224
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation October 2023 125
We consider a reaction-diffusion system for two densities lying in adjacent domains of $\mathbb{R}^N$. We treat two configurations: either a cylinder and its complement, or two half-spaces. Diffusion and reaction heterogeneities for the two densities
Externí odkaz:
http://arxiv.org/abs/1903.11717
Autor:
Tellini, Andrea
We prove that a class of superlinear indefinite problems with homogeneous Neumann boundary conditions admits an arbitrarily high number of positive solutions, provided that the parameters of the problem are adequately chosen. The sign-changing weight
Externí odkaz:
http://arxiv.org/abs/1708.09659
In this paper we consider a reaction-diffusion equation of Fisher-KPP type inside an infinite cylindrical domain in $\mathbb{R}^{N+1}$, coupled with a reaction-diffusion equation on the boundary of the domain, where potentially fast diffusion is allo
Externí odkaz:
http://arxiv.org/abs/1504.04698
Autor:
Tellini, Andrea
Publikováno v:
Dynamical Systems, Differential Equations and Applications AIMS Proceedings (2015) 1050-1059
In [5] the structure of the bifurcation diagrams of a class of superlinear indefinite problems with a symmetric weight was ascertained, showing that they consist of a primary branch and secondary loops bifurcating from it. In [4] it has been proved t
Externí odkaz:
http://arxiv.org/abs/1412.3742
Autor:
Tellini, Andrea
In this paper we consider a model for the diffusion of a population in a strip-shaped field, where the growth of the species is governed by a Fisher-KPP equation and which is bounded on one side by a road where the species can have a different diffus
Externí odkaz:
http://arxiv.org/abs/1412.2611
Autor:
Tellini, Andrea
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2018 467(1):673-698