If you say "eat your heart out" followed by the name of a famous person, you are joking that you are even better than that person.

I'm singing in the village production of Tosca next month - eat your heart out Pavarotti! 下个月我们村剧团要上演《托斯卡》，我会上台一展歌喉——帕瓦罗蒂，我比你强多了！