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

2011/05/12 by Dragos-Patru Covei, Covei, Dragos-Patru
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1105.2570

This paper has been withdrawn by the author due to a crucial sign error

arxiv created 2011/11/16 · arxiv updated 2011/11/17

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_pu-b(x)|\nablau|^p-1=a(x)f(u), x\inR^N (N≥3), lim_{|x|→ ∞}u(x)=0, where \triangle_pu=div[big]<LaTeX>(</LaTeX>|\nablau|^p-2\nablau[big]<LaTeX>)</LaTeX>, 1<p<N, a(x)=a(|x|), b(x)=b(|x|) which are continuous, and f\inC¹(0,∞) which may be singular at zero.

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