Abstract:In this paper, we investigate the nonlinear Schödinger equations with cubic interactions, arising in nonlinear optics. To begin, we prove the existence results for normalized ground state solutions in the subcritical case and
‐supercritical case, respectively. Our proofs relies on the Concentration‐compactness principle, Pohozaev manifold, and rearrangement technique. Then, we establish the nonexistence of normalized ground state solutions in the
‐critical case by finding that there exists a threshold. In ad… Show more
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