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arXiv · 1105.2570

Existence results for a quasilinear elliptic problem with a gradient term via shooting method

Dragos-Patru Covei
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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] \big( |\nablau|^{p-2}\nablau[big] \big) , 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.

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Dragos-Patru Covei. 2011-11-16. Existence results for a quasilinear elliptic problem with a gradient term via shooting method. https://arxiv.org/abs/1105.2570

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