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math.AP2025
Mass concentration of minimizers for -subcritical Kirchhoff energy functional in bounded domains
Chen Yang, Shubin Yu, Chun-Lei Tang
We are concerned with -constraint minimizers for the Kirchhoff functional $$ E_b(u)=\int_Ω|\nabla u|^2\mathrm{d}x+\frac{b}{2}\left(\int_Ω|\nabla u|^2\mathrm{d}x\right)^2+\in…
math.AP2024
Existence and asymptotic properties of standing waves for dipolar Bose-Einstein condensate with rotation
Meng-Hui Wu, Shubin Yu, Chun-Lei Tang
In this article, we study the existence and asymptotic properties of prescribed mass standing waves for the rotating dipolar Gross-Pitaevskii equation with a harmonic potential in…
math.AP2024
Concentration behavior of normalized ground states for mass critical Kirchhoff equations in bounded domains
Shubin Yu, Chen Yang, Chun-Lei Tang
In present paper, we study the limit behavior of normalized ground states for the following mass critical Kirchhoff equation $$ \left\{\begin{array}{ll} -(a+b\int_Ω|\nabla u|^2\ma…