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Original scientific paper

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

B. Vrdoljak


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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

https://hrcak.srce.hr/1731

Publication date:

20.6.1999.

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