Bifurcations and asymptotics for singular elliptic problems
Marius Ghergu · Annals of the University of Craiova Mathematics and Computer Science Series · 2005
We consider a class of singular elliptic problems in bounded domains. The main feature here is the presence of the singular and a sublinear nonlinearities combined with a subquadratic convection term. We establish existence, nonexistence, bifurcation and asymptotic behavior of the solution. We also describe the decay rate of the solution as well as a blow-up result around the bifurcation point. 2000 Mathematics Subject Classification. Primary 35J65; Secondary 35B50.