AbstractWe establish the limit system for the Gross–Pitaevskii equations when the segregation phenomenon appears, and shows this limit is the one arising from the competing systems in population dynamics. This covers and verifies a conjecture of S. Terracini et al., both in the parabolic case and the elliptic case
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
International audienceWe prove some refined asymptotic estimates for postive blowing up solutions to...
AbstractWe consider the problem of Ambrosetti–Prodi type{Δu+eu=sϕ1+h(x)in Ω,u=0on ∂Ω, where Ω is a b...
AbstractWe prove the uniform Hölder continuity of solutions for two classes of singularly perturbed ...
AbstractWe consider a competition–diffusion system for two competing species; the density of the fir...
AbstractIn this article we use variational methods to study a strongly coupled elliptic system depen...
AbstractThe purpose of this paper is to prove well-posedness for a problem that describes the dynami...
AbstractWe consider equations (E) −Δu+g(u)=μ in smooth bounded domains Ω⊂RN, where g is a continuous...
AbstractBlowup estimates for solutions of a parabolic system, which arises in a cooperating three-sp...
AbstractUniform boundedness and convergence of global solutions are proved for quasilinear parabolic...
We study existence and non existence results for a class of parabolic problems related to some Caffa...
summary:We consider strongly coupled competitive elliptic systems that arise in the study of two-com...
AbstractWe obtain the asymptotic limit of the principal eigenvalue of a cooperative system of linear...
We consider the elliptic system −Δui = u3 i + q +1 j=1 j=i βijuiu2 j in R4, i = 1,...,q + 1,...
AbstractWe show that under certain additional hypothesis, two population competing species models in...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
International audienceWe prove some refined asymptotic estimates for postive blowing up solutions to...
AbstractWe consider the problem of Ambrosetti–Prodi type{Δu+eu=sϕ1+h(x)in Ω,u=0on ∂Ω, where Ω is a b...
AbstractWe prove the uniform Hölder continuity of solutions for two classes of singularly perturbed ...
AbstractWe consider a competition–diffusion system for two competing species; the density of the fir...
AbstractIn this article we use variational methods to study a strongly coupled elliptic system depen...
AbstractThe purpose of this paper is to prove well-posedness for a problem that describes the dynami...
AbstractWe consider equations (E) −Δu+g(u)=μ in smooth bounded domains Ω⊂RN, where g is a continuous...
AbstractBlowup estimates for solutions of a parabolic system, which arises in a cooperating three-sp...
AbstractUniform boundedness and convergence of global solutions are proved for quasilinear parabolic...
We study existence and non existence results for a class of parabolic problems related to some Caffa...
summary:We consider strongly coupled competitive elliptic systems that arise in the study of two-com...
AbstractWe obtain the asymptotic limit of the principal eigenvalue of a cooperative system of linear...
We consider the elliptic system −Δui = u3 i + q +1 j=1 j=i βijuiu2 j in R4, i = 1,...,q + 1,...
AbstractWe show that under certain additional hypothesis, two population competing species models in...
AbstractWe consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smo...
International audienceWe prove some refined asymptotic estimates for postive blowing up solutions to...
AbstractWe consider the problem of Ambrosetti–Prodi type{Δu+eu=sϕ1+h(x)in Ω,u=0on ∂Ω, where Ω is a b...
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