Under eye wrinkles are amongst the most difficult to treat on the face, due to the very fine skin as well as the proximity to the eye.
Many eye creams that are designed to improve the content of collagen and elastin under the eye. Another way to deal with loose skin or eye wrinkles here is to have carbon dioxide fractional laser resurfacing.
Advanced Dermatology employs the CO2RE system by Syneron/Candela for its precision and quick healing. This technique does have about 5-7 days of noticeable healing, though, so you have to be prepared for some big, dark sunglasses or some days of working from home.
