4 papers · 1 filter
Cubic Nonlinear Schrödinger Systems and Orthonormal Fermionic Ground States in
Bin Chen, Yujin Guo, Yong Luo +1
We study the one-dimensional nonlinear Schrödinger system \[ -u_i''-2\Big(\sum_{k=1}^N u_k^2\Big)^{p-1}u_i=μ_i u_i \quad \mbox{in } \ \mathbb R,\ \ i=1,2,\cdots,N, \tag{S} \] where…
On the Limiting Behavior of -Critical Pseudo-Relativistic Fermi Systems
Bin Chen, Yinbin Deng, Yujin Guo +1
We consider ground states of a pseudo-relativistic Fermi system in the -critical case. We prove that the system admits ground states, if and only if the attractive strength $a…
Optimizers of the Finite-Rank Hardy-Lieb-Thirring Inequality for Hardy-Schrödinger Operator
Bin Chen, Yujin Guo, Shuang Wu
We study the following finite-rank Hardy-Lieb-Thirring inequality of Hardy-Schrödinger operator: \begin{equation*} \sum_{i=1}^N\left|λ_i\Big(-Δ-\frac{c}{|x|^2}-V\Big)\right|^s\leq…
Mass-Critical Neutron Stars in the Hartree-Fock and Hartree-Fock-Bogoliubov Theories
Bin Chen, Yujin Guo, Phan Thành Nam +1
We investigate the ground states of neutron stars and white dwarfs in the Hartree-Fock (HF) and Hartree-Fock-Bogoliubov (HFB) theories. It is known that the system is stable below…