Research Article

EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL

Volume: 1 Number: 2 July 31, 2018
EN

EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL

Abstract

In this work, we give an existence result of entropy solutions for the following strongly nonlinear anisotropic elliptic Dirichlet problem.



Keywords

References

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  3. Y. Akdim, A. Salmani, Existence and uniqueness Results for nonlinear Anisotropic elliptic Equations, Journal of Nonlinear Evolution Equations and Applications(JNEEA)., 6 , 95-111 (2016).
  4. S. Antontsev and M.Chipot, Anisotropic equations: uniqueness and existence results, J. Dierential and Integral Equations 21(5-6), , 401-419 (2008).
  5. S. N. Antontsev and J. F. Rodrigues, On stationary thermorheological viscous ows, Ann. Univ.Ferrara Sez. VII Sci. Mat. 52, 19-36 (2007).
  6. M. Bendahmane, M. Chrif and S. El Manouni, An Approximation Result in Generalized Anisotripic Sobolev Spaces and Application, J. Anal. Appl., 30, 341-353 (2011).
  7. M. Chrif - S. El Manouni, On a strongly anisotropic equation with L1 data, Appl. Anal. 87(7), 865-871 (2008).
  8. A. Benkirane - M. Chrif - S. El Manouni, Existence results for strongly nonlinear elliptic equations of innite order, Z. Anal. Anwend. (J. Anal. Appl.) 26, 303-312 (2007).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 31, 2018

Submission Date

May 17, 2018

Acceptance Date

August 5, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

APA
Azroul, E., Bouziani, M., & Hjiaj, H. (2018). EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL. Journal of Universal Mathematics, 1(2), 62-87. https://izlik.org/JA26AB55UH
AMA
1.Azroul E, Bouziani M, Hjiaj H. EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL. JUM. 2018;1(2):62-87. https://izlik.org/JA26AB55UH
Chicago
Azroul, Elhoussine, Mohammed Bouziani, and Hassane Hjiaj. 2018. “EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL”. Journal of Universal Mathematics 1 (2): 62-87. https://izlik.org/JA26AB55UH.
EndNote
Azroul E, Bouziani M, Hjiaj H (July 1, 2018) EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL. Journal of Universal Mathematics 1 2 62–87.
IEEE
[1]E. Azroul, M. Bouziani, and H. Hjiaj, “EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL”, JUM, vol. 1, no. 2, pp. 62–87, July 2018, [Online]. Available: https://izlik.org/JA26AB55UH
ISNAD
Azroul, Elhoussine - Bouziani, Mohammed - Hjiaj, Hassane. “EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL”. Journal of Universal Mathematics 1/2 (July 1, 2018): 62-87. https://izlik.org/JA26AB55UH.
JAMA
1.Azroul E, Bouziani M, Hjiaj H. EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL. JUM. 2018;1:62–87.
MLA
Azroul, Elhoussine, et al. “EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL”. Journal of Universal Mathematics, vol. 1, no. 2, July 2018, pp. 62-87, https://izlik.org/JA26AB55UH.
Vancouver
1.Elhoussine Azroul, Mohammed Bouziani, Hassane Hjiaj. EXISTENCE OF ENTROPY SOLUTIONS FOR STRONGLY NONLINEAR ANISOTROPIC ELLIPTIC PROBLEM INVOLVING LOWER ORDER TERMS AND HARDY POTENTIAL. JUM [Internet]. 2018 Jul. 1;1(2):62-87. Available from: https://izlik.org/JA26AB55UH