Radial solutions of p-Laplace equations with nonlinear gradient terms on exterior domains

This paper studies the existence of radial solutions of the boundary value problem of p-Laplace equation with gradient term {-Delta(p)u = K(|x|)f (|x|, u, |del u|), x is an element of Omega, partial derivative u/partial derivative n = 0, x is an element of partial derivative Omega, lim(|x|->infinity) u(x) = 0, where Omega = {x is an element of R-N : |x| > r(0)}, N >= 3, 1 < p <= 2, K : [r(0),infinity) -> R+, and f : [r(0),infinity) x R x R+ -> R are continuous. Under certain inequality conditions of f, the existence results of radial solutions are obtained.