Periodic solutions for the non-local operator (-Delta + m^2)^s - m^(2s) with m>=0

Vincenzo Ambrosio

By using variational methods we investigate the existence of T-periodic solutions to [(-Delta_x + m^2)^s -m^(2s)]u= f(x,u) in (0,T)^N u(x+Te_i)=u(x) for all x in R^N, i=1,...,N whe…