The advent of both Cloud computing and Internet of Things (IoT) is changing the way of
conceiving information and communication systems. Generally, we talk about IoT Cloud to …

For the positive solutions of the Gross–Pitaevskii system-Δ u_ β+ β u_ β= 1 u 3\over β-β u_ β
v 2\over β,\cr-Δ v_ β+ β v_ β= 2 v 3\over β-β u 2\over β v_ β, we prove that L∞‐boundedness …

We consider mainly the Dirichlet realization of the Laplacian operator in Ω, when Ω is a
bounded domain in R with piecewise-C boundary (domains with corners or cracks 10.1 …

For a class of population models of competitive type, we study the asymptotic behavior of the
positive solutions as the competition rate tends to infinity. We show that the limiting problem …

We consider two-dimensional Schrödinger operators in bounded domains. We analyze
relations between the nodal domains of eigenfunctions, spectral minimal partitions and …

For the system-Δ U_i+ U_i= U_i^ 3-β U_i j ≠ i U_j^ 2,\quad i= 1,\dots, k,(with k≧ 3), we
prove the existence for β large of positive radial solutions on\mathbb R^ N. We show that as …

Here we study the asymptotic limits of solutions of some singularly perturbed elliptic
systems. The limiting problems involve multiple valued harmonic functions or, in general …

We study the following coupled Schrödinger system which has appeared as several models
from mathematical physics:\left {-Δ u+\lambda_1 u=\mu_1 u^ 3+ β uv^ 2,\quad x ∈ R^ N,\-Δ …

In this paper we study a class of stationary states for reaction-diffusion systems of k≥ 3
densities having disjoint supports. For a class of segregation states governed by a …

We develop several efficient numerical schemes which preserve exactly the global
constraints for constrained gradient flows. Our schemes are based on the scalar auxiliary …