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Asymptotics for Singular Solutions to Conformally Invariant Fourth Order Systems in the Punctured Ball

Asymptotics for Singular Solutions to Conformally Invariant Fourth Order Systems in the Punctured Ball

We study asymptotic profiles for singular solutions to a class of critical strongly coupled fourth order systems on the punctured ball. Assuming a superharmonicity condition, we prove that sufficiently close to the isolated singularity singular solutions behave like the so-called Emden--Fowler solution to the blow-up limit problem. On the technical …