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Solutions for Semilinear Elliptic Systems with Critical Sobolev Exponent and Hardy Potential

Part of: Partial differential equations Elliptic equations and systems

Published online by Cambridge University Press:  20 November 2018

Mohammed Bouchekif  and
Yasmina Nasri
Mohammed Bouchekif
Affiliation:
Université de Tlemcen, Faculté des sciences, Département de mathématiques, BP 119 Tlemcen 13000, Algérie, e-mail: m_bouchekif@mail.univ-tlemcen.dz, y_nasri@mail.univ-tlemcen.dz
Yasmina Nasri
Affiliation:
Université de Tlemcen, Faculté des sciences, Département de mathématiques, BP 119 Tlemcen 13000, Algérie, e-mail: m_bouchekif@mail.univ-tlemcen.dz, y_nasri@mail.univ-tlemcen.dz
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Abstract

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In this paper we consider an elliptic system with an inverse square potential and critical Sobolev exponent in a bounded domain of ${{\mathbb{R}}^{N}}$. By variational methods we study the existence results.

Keywords

critical Sobolev exponentPalais–Smale conditionLinking theoremHardy potential

MSC classification

Secondary: 35B25: Singular perturbations 35B33: Critical exponents 35J50: Variational methods for elliptic systems 35J60: Nonlinear elliptic equations
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 62 , Issue 1 , 01 February 2010 , pp. 19 - 33
Copyright
Copyright © Canadian Mathematical Society 2010

References

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