Normalized ground state solutions for the fractional Sobolev critical NLSE with an extra mass supercritical nonlinearity
arXiv:2206.12583 · doi:10.1090/spmj/1829
Abstract
This paper is concerned with 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 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.