Radial solutions for some classes of elliptic boundary value problems


The aim of this paper is to present some existence and localization results of radial solutions for elliptic equations and systems on an annulus \(\Omega\) of \(\mathbb{R}^{N}\left( N\geq1\right) \) of radii a and b with \(0<a<b\). The main toolis Schauder’s fixed point theorem.


Toufik Moussaoui
Department of Mathematics, E.N.S.,P.O. Box 92, 16050 Kouba, Algiers, Algeria

Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Radial solutions; elliptic boundary value problem; elliptic systems; Schauder’s fixed point theorem.

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T. Moussaoui, R. Precup, Radial solutions for some classes of elliptic boundary value problems, Studia Univ. Babes-Bolyai Math. 53 (2008), no.1, 35-42.


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Studia Univ. “Babeș-Bolyai” Mathematica

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[1] Shaohua Chen and Guozhen Lu, Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system, Nonlinear Anal., 38 (1999), 919-932.
[2] do O, J.M., Lorca, S., and Ubilla, P., Multiparameter elliptic equations in annular domains, Progress in Nonlinear Differential Equations and Their Applications, Vol. 66 (2005), 233-246.
[3] do O, J.M., Lorca, S., and Ubilla, P., Three positive radial solutions for elliptic equations in a ball, Appl. Math. Letters, 18(2005), 1163-1169.
[4] Granas, A, and Dugundji, J., Fixed Point Theory, Springer, New York, 2003.
[5] Lu, H., and Bai, Z., Positive radial solutions of a singular elliptic equation with sign changing nonlinearities, Applied Math. Letters, 19(2006) 555-567.
[6] Schmitt, K., Positive solutions of semilinear elliptic boundary value problems, in ”Topological Methods in Differential Equations and Inclusions”, A. Granas and M. Frigon eds., Kluwer, Dordrecht, 1995, 447-500.
[7] Zeidler, E., Nonlinear Functional Analysis, Vol. 1, Fixed Point Theorems, Springer, Berlin, 1986.


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