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math.AP2025
Mass-Critical Neutron Stars in the Hartree-Fock and Hartree-Fock-Bogoliubov Theories
Bin Chen, Yujin Guo, Phan Thà nh 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…
math.AP2025
Minimizing sequences of Sobolev inequalities revisited
Charlotte Dietze, Phan Thà nh Nam
We give a new proof of the compactness of minimizing sequences of the Sobolev inequalities in the critical case. Our approach relies on a simplified version of the concentration-co…
math.AP2024
Semiclassical Moser-Trudinger inequalities
Rakesh Arora, Phan Thà nh Nam, Phuoc-Tai Nguyen
We extend the Moser-Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfu…