We consider families u= u ε, 0 of boundary layer solutions to singularly perturbed quasilinear
problems of the type ε 2 (a (x, u (x), ε) u′(x))′= b (x, u (x), ε) for x∈(− 1, 1), u (− 1)= u′(1) …

We consider periodic homogenization of boundary value problems for quasilinear second-
order ODE systems in divergence form of the type $ a (x, x/\varepsilon, u (x), u'(x))'= f (x …

We consider singularly perturbed Dirichlet problems which are, in the simplest nontrivial
case, of the type ε 2 u ″(x)= f (x, u (x)) for x∈[0, 1], u (0)= u 0, u (1)= u 1. For small ε> 0 we …

In this paper we consider a two component system of coupled non linear Schrödinger
equations modeling the phase separation in the binary mixture of Bose–Einstein …

We consider strongly coupled competitive elliptic systems of Gross-Pitaevskii type that arise
in the study of two-component Bose-Einstein condensates, in general smooth bounded …

We construct a smooth radial positive solution for the following m-coupled elliptic system-Δ
ui= f (ui)-β∑ j≠ iuiuj 2, in B 1 (0), ui= 0, i= 1,…, m, on∂ B 1 (0), for β> 0 large enough, where …