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

  Published:2009-12-04
 Printed: Feb 2010
  • Mohammed Bouchekif,
    Université de Tlemcen, Algérie
  • Yasmina Nasri,
    Université de Tlemcen, Algérie
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Abstract

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 exponent, Palais--Smale condition, Linking theorem, Hardy potential critical Sobolev exponent, Palais--Smale condition, Linking theorem, Hardy potential
MSC Classifications: 35B25, 35B33, 35J50, 35J60 show english descriptions Singular perturbations
Critical exponents
Variational methods for elliptic systems
Nonlinear elliptic equations
35B25 - Singular perturbations
35B33 - Critical exponents
35J50 - Variational methods for elliptic systems
35J60 - Nonlinear elliptic equations
 

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