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Algebra i Analiz, 2023, Volume 35, Issue 5, Pages 85–98 (Mi aa1883)  
Research Papers

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

Jiabin Zuoa, Yuyou Zhonga, Dušan D. Repovšbcd

a School of Mathematics and Information Science, Guangzhou University, 510006 Guangzhou, P.R. China
b Faculty of Education, University of Ljubljana, 1000 Ljubljana, Slovenia
c Institute of Mathematics, Physics and Mechanics, 1000 Ljubljana, Slovenia
d Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
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Abstract: 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.
Keywords: normalized solutions, fractional Schrödinger equation, mass supercritical, Sobolev critical.
Funding agency Grant number
Guangdong Basic and Applied Basic Research Foundation 2022A1515110907
China Postdoctoral Science Foundation 2023M730767
Innovative Research Funding Program for Graduate Students of Guangzhou University 2022GDJC-D09
Slovenian Research Agency P1-0292
N1-0278
N1-0114
N1-0083
J1-4031
J1-4001
Jiabin Zuo was supported by the Guangdong Basic and Applied Basic Research Foundation (2022A1515110907) and the Project funded by China Post-doctoral Science Foundation (2023M730767). Yuyou Zhong was supported by the Innovative Research Funding Program for Graduate Students of Guangzhou University (2022GDJC-D09). Dušan D. Repovš was supported by the Slovenian Research Agency grants P1-0292, N1-0278, N1-0114, N1-0083, J1-4031, and J1-4001.
Received: 22.08.2022
Document Type: Article
Language: English
Citation: Jiabin Zuo, Yuyou Zhong, Dušan D. Repovš, “Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity”, Algebra i Analiz, 35:5 (2023), 85–98
Citation in format AMSBIB
\Bibitem{ZuoZhoRep23}
\by Jiabin~Zuo, Yuyou~Zhong, Du{\v s}an~D.~Repov{\v s}
\paper Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity
\jour Algebra i Analiz
\yr 2023
\vol 35
\issue 5
\pages 85--98
\mathnet{http://mi.mathnet.ru/aa1883}
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