Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity
Analysis of PDEs
2024-12-10 v2
Abstract
This paper is concerned with existence of normalized ground state solutions for the mass supercritical fractional nonlinear Schr\"{o}dinger equation involving a critical growth in the fractional Sobolev sense. The compactness of Palais-Smale sequences is obtained by a special technique, which borrows from the ideas of Soave (J. Funct. Anal. 279 (6) (2020) 1086102020). This paper represents an extension of previously known results - in the local and the nonlocal cases.
Keywords
Cite
@article{arxiv.2206.12583,
title = {Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity},
author = {Jiabin Zuo and Yuyou Zhong and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2206.12583},
year = {2024}
}