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PreprintarXiv licencearXiv

Uniqueness and Nondegeneracy of Ground State for the L2-Critical Boson Star Equation

  • Pan Chen
  • Qi Guo
  • Juncheng Wei
  • Yuanyang Yu
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Abstract

We prove uniqueness, up to phase rotations and translations, of the ground state for the L2-critical boson star equation (√(−Δ)+1)Q =(|x|−1* |Q|2)Q, x∈ℝ3. We also determine the kernels of the real and imaginary linearized operators. As a consequence, we show the Lieb-Yau uniqueness conjecture holds when the mass is sufficiently close to the Chandrasekhar mass.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026uniqueness,
  title = {{Uniqueness and Nondegeneracy of Ground State for the $L^2$-Critical Boson Star Equation}},
  author = {Pan Chen and Qi Guo and Juncheng Wei and Yuanyang Yu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23771},
  eprint = {2609.23771},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23771},
}
RIS
TY  - UNPB
TI  - Uniqueness and Nondegeneracy of Ground State for the L^2-Critical Boson Star Equation
AU  - Pan Chen
AU  - Qi Guo
AU  - Juncheng Wei
AU  - Yuanyang Yu
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23771
UR  - https://arxiv.org/abs/2609.23771
AB  - We prove uniqueness, up to phase rotations and translations, of the ground state for the L^2-critical boson star equation (√(−Δ)+1)Q =(|x|^−1* |Q|^2)Q, x∈ℝ^3. We also determine the kernels of the real and imaginary linearized operators. As a consequence, we show the Lieb-Yau uniqueness conjecture holds when the mass is sufficiently close to the Chandrasekhar mass.
ER  -