If you're talking about images, it's kind of quirky, but yes there is a workaround for the way the mobile page auto-sizes your images.
Instead of dragging in a picture element directly to the mobile page, use the rich text editor and insert an image from there. Within the rich text editing screen you should be able to resize the image properties. Kind of a nuisance and not sure why it's designed this way, but that's how it is at the moment.
Alternatively, you could just remove your desktop images from the mobile version completely and create new ones sized for mobile in photoshop..