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