On a class of sublinear singular elliptic problems with convection term

Marius Ghergu (1) , Vicentiu Radulescu (1)

1 UCV - Department of Mathematics

We establish several results related to existence, nonexistence or bifurcation of positive solutions for a Dirichlet boundary value problem with in a smooth bounded domain. The main feature of this paper consists in the presence of a singular nonlinearity, combined with a convection term. Our approach takes into account both the sign of the potential and the decay rate around the origin of the singular nonlinearity. The proofs are based on various techniques related to the maximum principle for elliptic equations.

Mots clés: singular elliptic equation; convection term; maximum principle; bifurcation problem

Domaines: Equations aux dérivées partielles [math.AP]

Marius Ghergu, Vicentiu Radulescu. On a class of sublinear singular elliptic problems with convection term. 2005. ⟨hal-00004810⟩