Geodesic
On the Non-Negative Radial Solutions of the Two Dimensional Bratu Equation
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 2, p. 275 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we study the boundary value problem on the unit circle for the Bratu's equation depending on the real parameter $µ$. From the parameter estimate, the existence of non-negative solution is set. A numerical method is suggested to justify the theoretical result. It is a combination of the adaptation of finite difference and Gauss-Seidel method allowing us to obtain a good approximation of $\mu_c$, with respect to the exact theoretical method $\mu_c=\lambda=5.7831859629467$.
Classification : 35J25 35J60
Keywords: non-linear eigenvalue problem, finite difference method, Gauss-Seidel method 
@article{KJM_2021_45_2_a9,
     author = {Mbe Koua Christophe Ndjatchi and Panayotis Vyridis and Juan Mart{\'\i}nez and J. Juan Rosales},
     title = {On the {Non-Negative} {Radial} {Solutions} of the {Two} {Dimensional} {Bratu} {Equation}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {275 },
     year = {2021},
     volume = {45},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_2_a9/}
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Mbe Koua Christophe Ndjatchi; Panayotis Vyridis; Juan Martínez; J. Juan Rosales. On the Non-Negative Radial Solutions of the Two Dimensional Bratu Equation. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 2, p. 275 . http://geodesic.mathdoc.fr/item/KJM_2021_45_2_a9/