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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