Infinitely many solutions for semilinear nonlocal elliptic equations under noncompact settings

In this paper, we study a class of semilinear nonlocal elliptic equations posed on settings without compact Sobolev embedding. More precisely, we prove the existence of infinitely many solutions to the fractional Brezis-Nirenberg problems on bounded domain.
Comment: 29 pages, Typos are fixed, Intro and refereces are extended