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. 
Woocheol Choi, Jinmyoung Seok
math.AP