The Lieb-Yau conjecture for ground states of pseudo-relativistic Boson stars

DOI10.1016/j.jfa.2020.108510zbMath1435.83032arXiv1904.06957OpenAlexW2937333378MaRDI QIDQ2306117

Yujin Guo, Xiaoyu Zeng

Publication date: 20 March 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06957

zbMATH Keywords

uniquenessground statesPohozaev identityBoson stars

Mathematics Subject Classification ID

Galactic and stellar structure (85A15) Exact solutions to problems in general relativity and gravitational theory (83C15) Bosonic systems in quantum theory (81V73)

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Local uniqueness for the multi-bump solutions to the problem of Ambrosetti–Prodi type, Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities, Normalized solutions for a critical Hartree equation with perturbation, Validity of Bogoliubov's approximation for translation-invariant Bose gases, Stable solitary waves for pseudo-relativistic Hartree equations with short range potential, Unnamed Item, Many-body blow-up profile of boson stars with external potentials

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