Electron. J. Diff. Equ., Vol. 2016 (2016), No. 65, pp. 1-11.

Existence and multiplicity of solutions for elliptic equations with singular growth

Yasmina Nasri, Ali Rimouche

Abstract:
In this article, we consider an elliptic problem with singular and critical growth. We prove the existence and multiplicity of solutions for the resonant and nonresonant cases.

Submitted June 6, 2015. Published March 10, 2016.
Math Subject Classifications: 35J65, 35J20.
Key Words: Semilinear elliptic equation; Hardy potential; critical Sobolev exponent.

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Yasmina Nasri
Laboratoire Syst èmes Dynamiques et Applications
Facult &escute; des Sciences
Universit &escute; de Tlemcen BP 119
Tlemcen 13000, Alg &escute;rie
email: y_nasri@hotmail.com
Ali Rimouche
Laboratoire Syst èmes Dynamiques et Applications
Facult &escute; des Sciences
Universit &escute; de Tlemcen BP 119
Tlemcen 13000 - Alg &escute;rie
email: ali.rimouche@mail.univ-tlemcen.dz

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