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math.AP2025
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…
math.AP2025
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…