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arXiv · 2301.11245

Exponential decay of the solutions to nonlinear Schr\"odinger systems

Felipe Angeles·Mónica Clapp·Alberto Saldaña
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Abstract

We show that the components of finite energy solutions to general nonlinear Schr\"odinger systems have exponential decay at infinity. Our results apply to positive or sign-changing components, and to cooperative, competitive, or mixed-interaction systems. As an application, we use the exponential decay to derive an upper bound for the least possible energy of a solution with a prescribed number of positive and nonradial sign-changing components.

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Felipe Angeles, Mónica Clapp, Alberto Saldaña. 2023-01-26. Exponential decay of the solutions to nonlinear Schr\"odinger systems. https://arxiv.org/abs/2301.11245

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