We consider a semilinear elliptic eigenvalues problem on a ball of and show that all the eigenfunctions and eigenvalues, can be obtained from the Lane-Emden function.
Nous considérons un problème aux valeurs propres, semi-linéaire elliptique, sur une boule de et montrons que ces valeurs et fonctions propres peuvent s’obtenir à partir de la fonction de Lane-Emden.
@article{AFST_2009_6_18_4_635_0, author = {Isselkou, Ould Ahmed Izid Bih}, title = {The {Lane-Emden} {Function} and {Nonlinear} {Eigenvalues} {Problems}}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {635--650}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 18}, number = {4}, year = {2009}, doi = {10.5802/afst.1218}, zbl = {1180.35401}, mrnumber = {2590382}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/afst.1218/} }
TY - JOUR AU - Isselkou, Ould Ahmed Izid Bih TI - The Lane-Emden Function and Nonlinear Eigenvalues Problems JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2009 SP - 635 EP - 650 VL - 18 IS - 4 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://archive.numdam.org/articles/10.5802/afst.1218/ DO - 10.5802/afst.1218 LA - en ID - AFST_2009_6_18_4_635_0 ER -
%0 Journal Article %A Isselkou, Ould Ahmed Izid Bih %T The Lane-Emden Function and Nonlinear Eigenvalues Problems %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2009 %P 635-650 %V 18 %N 4 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://archive.numdam.org/articles/10.5802/afst.1218/ %R 10.5802/afst.1218 %G en %F AFST_2009_6_18_4_635_0
Isselkou, Ould Ahmed Izid Bih. The Lane-Emden Function and Nonlinear Eigenvalues Problems. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 18 (2009) no. 4, pp. 635-650. doi : 10.5802/afst.1218. http://archive.numdam.org/articles/10.5802/afst.1218/
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