We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems. The nonlinear interaction between two Bose fluids is assumed to be of critical exponential type in the sense of J. Moser. For ‘small’ solutions the system is asymptotically equivalent to the corresponding one in higher dimensions with power-like nonlinearities.

Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two

Cassani D.
;
Zhang J.
2020-01-01

Abstract

We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems. The nonlinear interaction between two Bose fluids is assumed to be of critical exponential type in the sense of J. Moser. For ‘small’ solutions the system is asymptotically equivalent to the corresponding one in higher dimensions with power-like nonlinearities.
Bose-Einstein condensate; Critical growth; Elliptic systems; Trudinger-Moser inequality; Variational methods
Cassani, D.; Tavares, H.; Zhang, J.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2093892
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