Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity

Zuo, Jiabin (author), Zhong, Yuyou (author), Repovš, Dušan (author)

This paper is concerned with the existence of normalized ground state solutions for the mass supercritical fractional nonlinear Schrödinger equation involving a critical growth in the fractional Sobolev sense. The compactness of Palais-Smale sequences will be obtained by a special technique, which borrows from the ideas of Soave (J. Funct. Anal. 279 (6) (2020), art. 1086102020). This paper represents an extension of previously known results, both in the local and the nonlocal cases.

• Language: English
• Keywords: normalized solutions, fractional Schrödinger equation, mass supercritical nonlinearity, Sobolev critical nonlinearity
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2024
• Number of pages: Str. 803-813
• Numbering: Vol. 35, no. 5
• PID: 20.500.12556/RUL-165969
• UDC: 517.9
• ISSN on article: 1061-0022
• DOI: 10.1090/spmj/1829
• COBISS.SI-ID: 218939651

Note

Objavljeno tudi v Algebra i analiz, 2023, vol. 35, iss. 5, str. 85–98 (https://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=aa&paperid=1883&option_lang=eng). (Datum opombe: 17. 12. 2024)

• Publication date in RUL: 16.12.2024

Record is a part of a journal

• Title: St. Petersburg mathematical journal
• Shortened title: St. Petersbg. math. j.
• Publisher: American Mathematical Society
• ISSN: 1061-0022
• COBISS.SI-ID: 218935555

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.