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

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