# Article

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Keywords:
quasilinear elliptic; integral operators; fixed points theory
Summary:
The existence of decaying positive solutions in ${\Bbb R}_+$ of the equations $(E_\lambda )$ and $(E_\lambda^1)$ displayed below is considered. From the existence of such solutions for the subhomogeneous cases (i.e. $t^{1-p} F(r,tU,t|U'|) \searrow 0$ as $t \nearrow \infty$), a super-sub-solutions method (see \S\,2.2) enables us to obtain existence theorems for more general cases.
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