Work

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

Year: 2024

Type: article

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.

Source: St Petersburg Mathematical Journal

DOI: 10.1090/spmj/1829

Authors: Jiabin Zuo, Yuyou Zhong, D. Repovš

Institutions: Guangzhou University, University of Ljubljana, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: China Postdoctoral Science Foundation, Javna Agencija za Raziskovalno Dejavnost RS, Guangzhou University, Basic and Applied Basic Research Foundation of Guangdong Province