On a class of sublinear singular elliptic problems with convection term

Details On a class of sublinear singular elliptic problems with convection term On a class of sublinear singular elliptic problems with convection term

2005-04-29

arxiv.org/abs/math/0504593v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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