I know it has been written before by DanishLad, but I just want to echo what he said.
Lyngby is one of the few elite clubs in Denmark that historically have really good youth teams. What they have been lacking has been a successful first team, (read rich) to keep the players in the Club. The other clubs around Copenhagen are able to pay far more and have also started to emulate what Lyngby have been doing for years.
Lyngby have an OK stadium and decent training facilities. They are well placed to get talent from around Copenhagen to play for them, because of the good infrastructure