We prove the existence of radially symmetric ground-states for the system of Nonlinear Schrödinger equations (Equation Presented) under very weak assumptions on the two nonlinearities f and g. In particular, no "Ambrosetti-Rabinowitz" condition is required.
Pomponio, A., Secchi, S. (2010). A note on coupled nonlinear Schrödinger systems under the effect of general nonlinearities [Working paper del dipartimento] [10.3934/cpaa.2010.9.741].
A note on coupled nonlinear Schrödinger systems under the effect of general nonlinearities
SECCHI, SIMONE
2010
Abstract
We prove the existence of radially symmetric ground-states for the system of Nonlinear Schrödinger equations (Equation Presented) under very weak assumptions on the two nonlinearities f and g. In particular, no "Ambrosetti-Rabinowitz" condition is required.
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