Mathematical Communications, Vol. 4 No. 1, 1999.

Izvorni znanstveni članak

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

B. Vrdoljak

Puni tekst:

str. 11-17

preuzimanja: 487

Sažetak

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 $\forall \left|x\right| \geq a$.

1731

Posjeta: 811 *