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Existence and blow‐up behavior of standing waves for the Gross–Pitaevskii functional with a higher order interaction

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We study the constraint minimization problem related to the Gross-Pitaevskii functional with a higher order interaction I a := inf { E a(φ) : φ ∈ H(R2), ‖φ‖L2 = 1… Click to show full abstract

We study the constraint minimization problem related to the Gross-Pitaevskii functional with a higher order interaction I a := inf { E a(φ) : φ ∈ H(R2), ‖φ‖L2 = 1 } , where δ > 0, a > 0,

Keywords: order interaction; higher order; functional higher; gross pitaevskii; pitaevskii functional

Journal Title: Mathematical Methods in The Applied Sciences
Year Published: 2020

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