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Ground states to bi-harmonic nonlinear Schrödinger equations with competing dispersion
We study ground-state solutions of the 4th order nonlinear Schrödinger equation with mixed dispersion via the elliptic profile equation $Δ^2 Q + 2a ΔQ + bQ - |Q|^αQ=0$, focusing on symmetry breaking of least-action ground states in 2D in the regime $a=1$, $b=1+ε$, $0<ε\ll 1$, where nonradiality was
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