Special (non-english) character in name. What to do as author? Internationalize or not? In German, as well as in other languages, people have Non-English characters in their names. e.g. ß, the umlauts etc..  

I frequently face problems when flying, opening bank accounts, etc., particularly abroad, since replacing the ß with ss changes more more than 25% of my family name as compared to how it's written in my passport.

Obviously it is desirable to write one's name for submissions, the way one's name is written correctly. Can one expect to run into problems, and will sooner or later end up with different publications being published under different spellings of the name, or is it safe to go for the correct spelling?
First of all, always be consistent. Whatever you decide, that is what you will always have to use.  

Considering the first point, might be better to strive and use your real name as it is with the non-english characters. You will have less problems in the future to prove your authorship in case questions rise. Complain to systems who do not accept your non-english characters...