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This paper is devoted to the analysis of the asymptotic behaviour when the parameter λ goes to +∞ for operators of the form −∆+λa or more generally, cooperative systems operators of the form −∆+λa −b −c −∆+λd where the potentials a and d vanish in some subregions of the domain Ω. We use the theory of Γ-convergence, even for the non-variational cooperative… (More)
different problems in collaboration with 4 different people, 3 of them working in Pisa and one in Parma. The first work is a collaboration with Pablò Alvarez-Caudevilla, postdoc at the center De Giorgi. We studied a problem in PDEs, about the asymptotic behavior of some linear operators, answering a question of Norman Dancer and where the Γ-convergence… (More)
Qualitative analysis of a cooperative reaction-diffusion system in spatiotemporally degenerate environment, SIAM Journal on Mathematical Analysis, to appear. Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: Effects of epidemic risk and population movement, Physica D, A reaction-diffusion SIS epidemic model in a… (More)
(2015) The Cauchy problem for a tenth-order thin film equation II. Oscillatory source-type fundamental similarity solutions. This version is made available in accordance with publisher policies. Please cite only the published version using the reference above.