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

Vrdoljak, B.

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

Original scientific paper

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

B. Vrdoljak

Full text: english pdf 104 Kb

page 11-17

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APA 6th Edition

Vrdoljak, B. (1999). Existence and behaviour of some radial solutions of a semilinear elliptic equation with a gradient-term. Mathematical Communications, 4 (1), 11-17. Retrieved from https://hrcak.srce.hr/1731

MLA 8th Edition

Vrdoljak, B.. "Existence and behaviour of some radial solutions of a semilinear elliptic equation with a gradient-term." Mathematical Communications, vol. 4, no. 1, 1999, pp. 11-17. https://hrcak.srce.hr/1731. Accessed 8 Mar. 2025.

Chicago 17th Edition

Vrdoljak, B.. "Existence and behaviour of some radial solutions of a semilinear elliptic equation with a gradient-term." Mathematical Communications 4, no. 1 (1999): 11-17. https://hrcak.srce.hr/1731

Harvard

Vrdoljak, B. (1999). 'Existence and behaviour of some radial solutions of a semilinear elliptic equation with a gradient-term', Mathematical Communications, 4(1), pp. 11-17. Available at: https://hrcak.srce.hr/1731 (Accessed 08 March 2025)

Vancouver

Vrdoljak B. Existence and behaviour of some radial solutions of a semilinear elliptic equation with a gradient-term. Mathematical Communications [Internet]. 1999 [cited 2025 March 08];4(1):11-17. Available from: https://hrcak.srce.hr/1731

IEEE

B. Vrdoljak, "Existence and behaviour of some radial solutions of a semilinear elliptic equation with a gradient-term", Mathematical Communications, vol.4, no. 1, pp. 11-17, 1999. [Online]. Available: https://hrcak.srce.hr/1731. [Accessed: 08 March 2025]

Abstract

In this paper we study the existence, behaviour and
approximation of some positive radial solutions $u (| x |)$ of the equation $Δ u + \frac{1}{2} x \nabla u + u^{p} - λ u^{q} = 0,$ $x \in \R^{n}$ $\forall | x | \geq a > 0$ . The errors of the approximations for solution $u$ \ and the first derivative $u^{'}$ \ are efined by the functions which can be sufficiently small $\forall | x | \geq a$ .

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

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