Original scientific paper

**Existence and behaviour of some radial solutions of a semilinear elliptic equation with a gradient-term**

B. Vrdoljak

###### Abstract

In this paper we study the existence, behaviour and

approximation of some positive radial solutions $u\left( \left| x\right|

\right) $ of the equation $\Delta u+\frac 12x\nabla u+u^p-\lambda u^q=0,$ $x\in {\R}^n$ $\forall \left| x\right| \geq a>0$. The errors of the approximations for solution $u$\ and the first derivative $u^{\prime }$\ are efined by the functions which can be sufficiently small $\forall \left|x\right| \geq a$.

###### Keywords

semilinear elliptic equation, radial solutions, existence, approximation

###### Hrčak ID:

1731

###### URI

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