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

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

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.

• Jezik: Angleški jezik
• Ključne besede: normalized solutions, fractional Schrödinger equation, mass supercritical nonlinearity, Sobolev critical nonlinearity
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: PEF - Pedagoška fakulteta; FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2024
• Št. strani: Str. 803-813
• Številčenje: Vol. 35, no. 5
• PID: 20.500.12556/RUL-165969
• UDK: 517.9
• ISSN pri članku: 1061-0022
• DOI: 10.1090/spmj/1829
• COBISS.SI-ID: 218939651

Opomba

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)

• Datum objave v RUL: 16.12.2024

ZUO, Jiabin, ZHONG, Yuyou in REPOVŠ, Dušan, 2024, Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity. St. Petersburg mathematical journal [na spletu]. 2024. Vol. 35, no. 5, p. 803–813. [Dostopano 15 marec 2025]. DOI 10.1090/spmj/1829. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=165969

Gradivo je del revije

• Naslov: St. Petersburg mathematical journal
• Skrajšan naslov: St. Petersbg. math. j.
• Založnik: American Mathematical Society
• ISSN: 1061-0022
• COBISS.SI-ID: 218935555

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.