Electron. J. Differential Equations, Vol. 2023 (2023), No. 76, pp. 1-20.

Stability of ground states of nonlinear Schrodinger systems

Liliana Cely

In this article, we study existence and stability of ground states for a system of two coupled nonlinear Schrodinger equations with logarithmic nonlinearity. Moreover, global well-posedness is verified for the Cauchy problem in \(H^{1}(\mathbb{R})\times H^{1}(\mathbb{R})\) and in an appropriate Orlicz space.

Submitted March 16, 2023. Published November 1, 2023.
Math Subject Classifications: 35Q55, 35Q40.
Key Words: Nonlinear Schrodinger system; global well-posedness; stability; ground states.
DOI: 10.58997/ejde.2023.76

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Liliana Cely
Institute of Mathematics and Statistics
University of São Paulo
Rua do Matão, 1010
São Paulo-SP, 05508-090, Brazil
email: mlcelyp@unal.edu.co

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