Highly Influenced

# Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term

@inproceedings{Ghergu2006GroundSS, title={Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term}, author={Marius Ghergu and Vicentiu D. Radulescu}, year={2006} }

- Published 2006

We are concerned with singular elliptic equations of the form −∆u = p(x)(g(u) + f(u) + |∇u|) in R (N ≥ 3), where p is a positive weight and 0 < a < 1. Under the hypothesis that f is a nondecreasing function with sublinear growth and g is decreasing and unbounded around the origin, we establish the existence of a ground state solution vanishing at infinity. Our arguments rely essentially on the maximum principle. 2000 Mathematics Subject Classification: 35B50, 35J65, 58J55.