Eugenio Montefusco
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View article: The Contribution of the Social and Solidarity Economy to Economic Growth
The Contribution of the Social and Solidarity Economy to Economic Growth Open
This work extends the basic analytical framework of macroeconomic growth to encompass the notion of social inclusion and to reduce the inconsistencies between growth and development. Specifically, we introduce the social and solidarity eco…
View article: Generic configurations in 2D strongly competing systems
Generic configurations in 2D strongly competing systems Open
We study a problem modelling segregation of an arbitrary number of competing species in planar domains. The solutions give rise to a well known free boundary problem with the domain partitioning itself into subdomains occupied by different…
View article: Some remarks on segregation of $k$ species in strongly competing systems
Some remarks on segregation of $k$ species in strongly competing systems Open
Spatial segregation occurs in population dynamics when k species interact in a highly competitive way. As a model for the study of this phenomenon, we consider the competition-diffusion system of k differential equations -\Delta u_i(x)=-\m…
View article: Some remarks on segregation of k species in strongly competing system
Some remarks on segregation of k species in strongly competing system Open
Spatial segregation occurs in population dynamics when $k$ species interact in a highly competitive way. As a model for the study of this phenomenon, we consider the competition-diffusion system of $k$ differential equations \[ -Δu_i(x)=-μ…
View article: Some remarks on four species strongly competing systems
Some remarks on four species strongly competing systems Open
We analysed the behaviour of the solutions of a reaction-diffusion system of four competing species as the competition rate tends to infinity. Large interaction induces the spatial segregation of the species and only two limit configuratio…
View article: Oscillating solutions for nonlinear nonlinear Helmholtz equations
Oscillating solutions for nonlinear nonlinear Helmholtz equations Open
Existence results for radially symmetric oscillating solutions for a class of nonlinear autonomous Helmholtz equations are given and their exact asymptotic behavior at infinity is established. Some generalizations to nonautonomous radial e…