If a web site has a legal name and abbreate the name?

[melfguod]

And it is offensive to some people or groups of people, can they be held liable and forced to not use the abbreviation ? ie. "Jump and paw" = JAP.

[Jake]

You mean Jewish-American Princess, that particular abbreviation and it's Asian meaning is not a terribly powerful slur, due to the multiple possible meanings I doubt legal action can be taken against that particular example, though the politically incorrect name probably is bad business.

I see JAP.com is owned by someone in Japan and has been inactive for perhaps 9 months.