WordPress.org

When I visit the site with iPhone or iPhone simulator, I don't see the specific theme

Verify that the folder of this theme has a right name with right extension.

Why the option full name or extension ?

It is an easiness to choose a theme with a folder without the proposed file extension.

Do you provide a theme for these mobile device as iPhone or iTouch ?

A lite release of a theme is here. Also you can use the famous iwphone theme (2007).

Where can I see a running example

dev.xiligroup.com here and www.xiliphone.mobi here usable with mobile as iPhone or Safari with options developer activated and agent set to iPhone.