Boundedness and segregation of solutions for a Bose-Einstein type system
Miguel Ramos
Departamento de Matemática
Universidade de Lisboa

Abstract

We prove the existence of positive solutions for a system of the form
−Δ u = u+u³−β uv²,
−Δ v = v+v³−β u²v,
in a smooth bounded domain of R³, with Dirichlet boundary conditions, as well as their segregation as the parameter β tends to infinity.

Jornada SPM/CIM/CMAT - "Dia das Equações"