In this paper we study the asymptotic behaviour of a family of elliptic systems, as far as the
existence of solutions is concerned. We give a special attention to the asymptotic behaviour …

We are interested in the following Dirichlet problem:-Δ u+ λ u-μ u| x| 2-ν u dist (x, RN\Ω) 2= f
(x, u) in Ω u= 0 on∂ Ω, on a bounded domain Ω⊂ RN with 0∈ Ω. We assume that the …

We study a Schrödinger system with the sum of linear and nonlinear couplings. Applying
index theory, we obtain infinitely many solutions for the system with periodic potentials …

We establish the existence of weak solution to the following class of fractional elliptic
systems {(-Δ)^ su+ a (x) u= F_u (x, u, v), & x ∈ R^ N,\(-Δ)^ sv+ b (x) v= F_v (x, u, v), & x ∈ R …

We study a coupled Schrödinger system with general nonlinearities. By using variational
methods, we prove the existence and asymptotic behaviour of ground state solution for the …