Existence results for a quasilinear elliptic problem with a gradient term via shooting method
Abstract
In this paper we obtain the existence of bounded positive entire radial solutions for the following nonlinear elliptic problem with a special nonlinear gradient term -pu-b(x)|∇u|p-1=a(x)f(u), x∈RN (N≥3), lim|x|→ ∞u(x)=0, where pu=div[big]<LaTeX>(</LaTeX>|∇u|p-2∇u[big]<LaTeX>)</LaTeX>, 1<p<N, a(x)=a(|x|), b(x)=b(|x|) which are continuous, and f∈C1(0,∞) which may be singular at zero.
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