On <italic>G</italic>-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in RN.

In this work, a biharmonic elliptic system is investigated in RN<inline-graphic></inline-graphic>, which involves singular potentials and multiple critical exponents. By the Rellich inequality and the symmetric criticality principle, the existence and multiplicity of <italic>G</italic>-invariant solutions to the system are established. To our best knowledge, our results are new even in the scalar cases. [ABSTRACT FROM AUTHOR]