On uniqueness for the generalized choquard equation

Vladimir Georgiev, George Venkov

研究成果: Chapter

抄録

We consider the generalized Choquard equation describing trapped electron gas in three dimensional case. The study of orbital stability of the energy minimizers (known as ground states) depends essentially in the local uniqueness of these minimizers. The uniqueness of the minimizers for the case p = 2, i.e. for the case of Hartree–Choquard is well known. The main difficulty for the case p ≠ 2 is connected with possible lack of control on the Lp norm of the minimizers. Our main result treats the local uniqueness of radial positive minimizers for p ∈ (5∕3, 7∕3).

本文言語English
ホスト出版物のタイトルTrends in Mathematics
出版社Springer Science and Business Media Deutschland GmbH
ページ263-278
ページ数16
DOI
出版ステータスPublished - 2020

出版物シリーズ

名前Trends in Mathematics
ISSN(印刷版)2297-0215
ISSN(電子版)2297-024X

ASJC Scopus subject areas

  • Mathematics(all)

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