Existence of positive radial solutions for a semilinear elliptic system without variational structure

Robert Dalmasso (1)

1 EDP - Equations aux Dérivées Partielles

In this article we consider (component-wise) positive radial solutions of a weakly coupled semilinear elliptic system in a ball with homogeneous Dirichlet data. We deal with a nonvariational problem. We show that the existence results recently obtained by Zou, while very general, nevertheless do not include all cases where existence can be proved.

Mots clés: Semilinear elliptic system; Positive radial solution

Domaines: Equations aux dérivées partielles [math.AP]

Robert Dalmasso. Existence of positive radial solutions for a semilinear elliptic system without variational structure. Nonlinear Analysis: Theory, Methods and Applications, 2007, 67 (4), pp.1255-1259. ⟨10.1016/j.na.2006.07.012⟩. ⟨hal-00384106⟩