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- W2162831339 abstract "We consider a competitive system of two stationary Gross-Pitaevskii equations arising in the theory of Bose-Einstein condensation, and the corresponding scalar equation. We address the question: Is it true that every bounded family of solutions of the system converges, as the competition parameter goes to infinity, to a pair which difference solves the scalar equation?. We discuss this question in the case when the solutions to the system are obtained as minimax critical points via (weak) L^2 Krasnoselskii genus theory. Our results, though still partial, give a strong indication of a positive answer." @default.
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- W2162831339 date "2009-01-01" @default.
- W2162831339 modified "2023-09-24" @default.
- W2162831339 title "Convergence of minimax and continuation of critical points for singularly perturbed systems" @default.
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