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Mathematics  2011 

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

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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

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