6 papers
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…
Pseudo-relativistic fermionic systems with attractive Yukawa potential
Bin Chen, Yujin Guo, Phan Thành Nam +1
We study the Hartree-Fock and Hartree-Fock-Bogoliubov theories for a large fermionic system with the pseudo-relativistic kinetic energy and an attractive Yukawa interaction potenti…
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…
Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The -Critical Case
Bin Chen, Yujin Guo, Shu Zhang
As a continuation of \cite{me}, we consider ground states of the coupled fermionic nonlinear Schrödinger system with a parameter and the Coulomb potential in the $L…
Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential I: The -Subcritical Case
Bin Chen, Yujin Guo
We consider ground states of the coupled fermionic nonlinear Schrödinger systems with the Coulomb potential in the -subcritical case. By studying the associated con…