Mobile web browser capability today almost like a desktop browser, like support css, javascript, flashplayer. For web designer they must immediately adapt their websites to these new devices, and must know the limitation of the device, like screen resolution, gesture touch features, etc.
With mobile web framework like jquery mobile or sencha touch we can make a mobile web application look a like native mobile app. Maybe these sites can be one of your inspiration when designing user interface, whether for native mobile app or mobile web.
CSS iPhone
Mobile Awesomeness
Refined Mobile
eMobile Gallery
visit emobilegallery