On the existence of solutions to weakly coupled elliptic system with critical growth – Angela Pistoia (Università la Sapienza, Roma)

Venue

Sala Riunioni (Dip. Matematica).

Abstract

Titolo On the existence of solutions to weakly coupled elliptic system with critical growth Abstract We consider a critical weakly coupled elliptic systems in a domain D in R^N with N=3,4 or in the whole space. We prove the existence of positive solutions which blow-up at one or more points in D provided some conditions are satisfied. These results have been obtained in collaboration with Nicola Soave and Hugo Tavares. We also build symmetric solutions to the system in the whole space via variational methods. This result has been obtained in collaboration with Monica Clapp.

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