4 papers · 1 filter
Uniqueness and Nondegeneracy of Ground State for the -Critical Boson Star Equation
Pan Chen, Qi Guo, Juncheng Wei +1
We prove uniqueness, up to phase rotations and translations, of the ground state for the -critical boson star equation \[ (\sqrt{-Δ}+1)Q =\bigl(|x|^{-1}* |Q|^2\bigr)Q, \qquad…
Uniqueness, Nondegeneracy, and Asymptotic Expansions of Ground States for the Dirac-Coulomb System
Pan Chen, Qi Guo, Xiaoyu Zeng
We study ground states of the following Dirac-Coulomb system $$\mathscr{D}_cu_c- \left(\abs{x}^{-1}\ast \abs{u_c}^2\right)u_c=ω_cu_c,$$ under the constraint $\norm[L^2]{u_c}^2=1.$F…
Multiplicity and Nonrelativistic limit of Bound States of Nonlinear Dirac Equations on Noncompact Metric Graphs with Localized Nonlinearities
Pan Chen, Qi Guo
In this paper, we investigate the multiplicity of normalized solutions to a nonlinear Dirac equation with localized nonlinearities on noncompact metric graphs under the \(L^2\)-con…
Energy quantization for Dirac systems over non-collapsed degenerating Einstein manifolds
Pan Chen, Youmin Chen, Miaomiao Zhu
We study energy quantization for a class of Dirac systems on compact spin Einstein manifolds of dimension \(n\). For a sequence of solutions to a nonlinear Dirac system with unifor…