Existence results for a quasilinear elliptic problem with a gradient term via shooting method
Analysis of PDEs
2011-11-17 v3
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 -\triangle_{p}u-b(x)|\nablau|^{p-1}=a(x)f(u), x\inR^{N} (N\geq3), lim_{|x|\rightarrow \infty}u(x)=0, where \triangle_{p}u=div[big]<LaTeX>\big(</LaTeX>|\nablau|^{p-2}\nablau[big]<LaTeX>\big)</LaTeX>, 1<p<N, a(x)=a(|x|), b(x)=b(|x|) which are continuous, and f\inC^1(0,\infty) which may be singular at zero.
Keywords
Cite
@article{arxiv.1105.2570,
title = {Existence results for a quasilinear elliptic problem with a gradient term via shooting method},
author = {Dragos-Patru Covei},
journal= {arXiv preprint arXiv:1105.2570},
year = {2011}
}
Comments
This paper has been withdrawn by the author due to a crucial sign error