Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.01.036
Abstract: We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems \begin{equation} \begin{cases} -\Delta u+\lambda_1u=\mu_1u(e^{u^2}-1)+\beta v\left(e^{uv}-1\right) \text{ in } \Omega, &\\ -\Delta v+\lambda_2v=\mu_2v(e^{v^2}-1)+\beta u\left(e^{uv}-1\right)\text{ in… read more here.
Keywords: lambda; bose fluids; dimension two; two bose ... See more keywords
Magnetic defects in an imbalanced mixture of two Bose-Einstein condensates
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DOI: 10.1103/physreva.97.063615
Abstract: When the spectrum of magnetic excitations of a quantum mixture is much softer than the density spectrum, the system becomes effectively incompressible and can host magnetic defects. These are characterized by the presence of a… read more here.
Keywords: density; magnetic defects; defects imbalanced; two bose ... See more keywords