@LoveBoating: We don't have fans outside the bedroom. The noise comes from the pipes in the walls. I have not clue about the use of these pipes. It does not sound like water; it is more like air conditioner noise. Can somebody tell me what to do?
@pitt_transplant: Thanks! It seems like the only thing I can do is to follow your advice. I also did research for sleeping ear plugs. By the way this noise is almost everywhere in the walls of the building (but more in the bedroom). That sucks big time. I cannot cover with isolation the whole apartment and building. I would rather buy my own house
I will try to talk to some of the other tenants, but I doubt that they will have problems. Many people don't care that much about noises. Than if they are also bothered by the noise (that means I am not crazy), we can contact the management and try to figure something out.