On weakly coupled elliptic systems with critical growth


Topic: On weakly coupled elliptic systems with critical growth

Speaker: Associate Professor Zhang Jianjun

Event date: 5/31/2019

Event time: 14:30 p.m.

Venue: Lecture Hall 204, Building 9

Sponsor: School of Mathematics and Statistics, Institute of Science and Technology


In this talk, we areconcerned with positive vector solutions of Bose-Einstein type systems indimension four and two. The interaction is critical in the sense of Sobolev indimension four and of critical exponential type in the sense of Moser indimension two. In dimension four, via the Hopf bration approach, concentrationphenomena around spheres are investigated in the attractive case as the Planckconstant goes tozero. As for dimension two, we prove, using variationalmethods, the existence of positive vector ground state solutions both in theattractive and repulsive cases. This talk is based on joint work with Jo~aoMarcos do O and with Daniele Cassani and Hugo Tavares.