Critical and subcritical fractional problems with vanishing potentials
  We investigate a class of nonlinear nonautonomous scalar field equations with fractional diffusion, critical power nonlinearity and a subcritical term. The involved potentials are allowed for vanishing behavior at infinity. The problem is set on the whole space and compactness issues have to be tackled. 
Jo\~ao Marcos do \'O, Olimpio H. Miyagaki, Marco Squassina
math.AP