Standing waves for Choquard equation with noncritical rotation

Abstract

We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 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→0+c\to {0}^{+}. Our results extend the existing results.

Keywords

• choquard equation
• ground-states
• standing waves
• stability, rotation
• mass collapse behavior
• 47g20
• 35r11
• 35a15
• 46e30
• 46e35