That's very possible if not completely probable. Just like an unlocked AT&T 3G phone won't work on T-Mobile 3G in the US because they use different bands. A 3G+LTE laptop may not work on 3G OR LTE in Denmark but only on EDGE (2G) if Denmark doesn't use the AT&T 3G bands. It MAY only work on 2G(Edge).
Your OP didn't mention you were in Denmark.
That's why I never rely on Wikipedia.It didn't matter in my OP, as I was just trying to figure out how LTE worked.
I went through the wikipedia page on LTE:
http://en.wikipedia.org/wiki/3GPP_Long_Term_Evolution
According to wikipedia: "LTE is, therefore, anticipated to become the first truly global mobile phone standard.".
How can it be the first truly global mobil phone standard, if there's more than one LTE standard?
That's why I never rely on Wikipedia.I guess they "anticipated" wrong.
Thinking about it, maybe the TECHNOLOGY is the same (I don't know) but not necessarily the bands that are used by various carriers.