Research Article

On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index

Volume: 1 Number: 1 April 9, 2019
EN

On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index

Abstract

In this paper, we study the existence and multiplicity of positive radial solutions for a class of local elliptic boundary value problem defined on bounded annular domains. The existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. We include an example to illustrate our results.

Keywords

References

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  6. [6] Bonheure. D and Serra. E, Multiple positive radial solutions on annulus for nonlinear Neu-mann problems with large growth, Nonlinear Di er. Equ. Appl. 18 (2011), 217-235.
  7. [7] Butler. D, Ko. E, Kyuong. E and Shivaji. R, Positive radial solutions for elliptic equations onexterior domains with nonlinear boundary conditions, Communications on Pure and AppliedAnalysis Volume 13, Number 6, (2014), 2713-27631.
  8. [8] N. Bouteraa and S. Benaicha, Triple positive solutions of higher-order nonlinear boundary value problems, Journal of Computer Science and Computational Mathematics, Volume 7, Issue 2, June 2017, 25-31.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Slimane Benaicha This is me
Algeria

Habib Djourdem This is me
Algeria

Publication Date

April 9, 2019

Submission Date

October 18, 2018

Acceptance Date

March 29, 2019

Published in Issue

Year 2019 Volume: 1 Number: 1

APA
Noureddine, B., Benaicha, S., & Djourdem, H. (2019). On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index. Maltepe Journal of Mathematics, 1(1), 30-47. https://izlik.org/JA88JX39PE
AMA
1.Noureddine B, Benaicha S, Djourdem H. On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index. Maltepe Journal of Mathematics. 2019;1(1):30-47. https://izlik.org/JA88JX39PE
Chicago
Noureddine, Bouteraa, Slimane Benaicha, and Habib Djourdem. 2019. “On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index”. Maltepe Journal of Mathematics 1 (1): 30-47. https://izlik.org/JA88JX39PE.
EndNote
Noureddine B, Benaicha S, Djourdem H (April 1, 2019) On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index. Maltepe Journal of Mathematics 1 1 30–47.
IEEE
[1]B. Noureddine, S. Benaicha, and H. Djourdem, “On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index”, Maltepe Journal of Mathematics, vol. 1, no. 1, pp. 30–47, Apr. 2019, [Online]. Available: https://izlik.org/JA88JX39PE
ISNAD
Noureddine, Bouteraa - Benaicha, Slimane - Djourdem, Habib. “On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index”. Maltepe Journal of Mathematics 1/1 (April 1, 2019): 30-47. https://izlik.org/JA88JX39PE.
JAMA
1.Noureddine B, Benaicha S, Djourdem H. On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index. Maltepe Journal of Mathematics. 2019;1:30–47.
MLA
Noureddine, Bouteraa, et al. “On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index”. Maltepe Journal of Mathematics, vol. 1, no. 1, Apr. 2019, pp. 30-47, https://izlik.org/JA88JX39PE.
Vancouver
1.Bouteraa Noureddine, Slimane Benaicha, Habib Djourdem. On the Existence and Multiplicity of Positive Radial Solutions for Nonlinear Elliptic Equation on Bounded Annular Domains via Fixed Point Index. Maltepe Journal of Mathematics [Internet]. 2019 Apr. 1;1(1):30-47. Available from: https://izlik.org/JA88JX39PE

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