Huxiao Luo

collaborators

2 papers

math.AP2023

Uniqueness and nondegeneracy of ground states for $(- Δ)^{s} u + u = 2 (I_{2} ⋆ u^{2}) u$ in $R^{N}$ when $s$ is close to 1

Huxiao Luo

In this article, we study the uniqueness and nondegeneracy of ground states to a fractional Choquard equation of the form: $(- Δ)^{s} u + u = 2 (I_{2} ⋆ u^{2}) u$ where $s \in (0, 1)$ is suffici…

math.AP2023

Normalized ground states solutions for nonautonomous Choquard equations

Huxiao Luo, Lushun Wang

In this paper, we study normalized ground state solutions for the following nonautonomous Choquard equation: $$-Δu-λu=\left(\frac{1}{|x|^μ}\ast A|u|^{p}\right)A|u|^{p-2}u,\quad \in…

Uniqueness and nondegeneracy of ground states for (−Δ)su+u=2(I2​⋆u2)u in RN when s is close to 1

Normalized ground states solutions for nonautonomous Choquard equations

Uniqueness and nondegeneracy of ground states for $(- Δ)^{s} u + u = 2 (I_{2} ⋆ u^{2}) u$ in $R^{N}$ when $s$ is close to 1