Standing waves for Choquard equation with noncritical rotation. (English) Zbl 07873688
Summary: We investigate the existence and stability of standing waves with prescribed mass \(c>0\) for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy to mass and the Lagrange multiplier, as \(c\to 0^+\). Our results extend the existing results.
MSC:
| 47G20 | Integro-differential operators |
| 35R11 | Fractional partial differential equations |
| 35A15 | Variational methods applied to PDEs |
| 46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
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