Hello and welcome to Android Forums. Hopefully I can help you with your problem.
Some devices will turn on when plugged into a charger. If yours will not do this then hopefully it's still under factory warranty. If so, contact the factory.
If it is not under warranty, try looking for a local phone repair shop so they can fix the power button.
Those are about the only options you have.
If you have any other questions regarding your device, I invite you to join Android Forums. We have many sections for specific devices which contain a wealth of information.