On the fourth-order Joseph-Lundgren exponent
Abdellaziz Harrabi and Belgacem Rahal – GJM, Volume 2, Issue 1 (2017), 37-41.
- Post by: administration
- octobre 5, 2020
- Comments off
In this paper, we revise the proof of the existence and the explicit value of the fourth-order Joseph–Lundgren exponent p_c(n,4) computed by Gazzola and Grunau [FH] (see also , ). Inspired by our work in , we propose a simple proof based on a symmetry property that allows us to reduce the computation of p_c(n,4) into solving a second degree polynomial equation. Therefore we can easily derive the explicit value of this exponent. Our approach is much more streamlined and more transparent compared to , in terms of finding this explicit value.
Received: June 2017
Published online: August 2017
Abdellaziz HarrabiInstitut Supérieur des Mathématiques Appliquées et de l'Informatique,
Université de Kairouan, Tunisia
Belgacem RahalFaculté des Sciences, Département de Mathématiques,
B.P 1171 Sfax 3000, Université de Sfax, Tunisia