You will find information about how to set the character set here: http://www.ez.no/ez_publish/documentation/configuration/configuration/language_and_charset/unicode_with_ez_publish
Allthough most browsers should work just fine with UTF-8. The browser will figure out the charset itself. ( Unless they have locked the browser to a specific charset )
When I view my site, the default charset encoding is always UTF-8 unless I manully set to something else. When I view a Chinese site using the same browser, the charset encoding is GB2312. So I think the problem is not with the browser but with the site.
The meta data for charset should be automatically set, so you should not need to change this manually. You should only need to set the character sets as described in the documentation above.