I have these fine lines under my eyes just above cheek bone. (photo)

There are several great treatments for the fine lines under the eyes. Some of them may be related to sun damage, muscle movements and general decrease in collagen and elastin.I definitely recommend that you have thorough consultation with a doctor who specializes in non-surgical treatments as the treatments that you will likely need are non-surgical in nature.I hope that helps and best regards, Dr. Sapijaszko.

Dear Olivia, you may benefit from periodic chemical peels. Alternatively, you can try Nano Fat Fill. It can improve the quality of the underlying skin very well. 

Good question! Lines like these can have a number of causes, including sun damage. Based on your photo, I think you may get good results from laser resurfacing or even a strong chemical peel. Some filler or BOTOX treatments may also help, especially in tandem with resurfacing procedures. As always, be sure you're wearing plenty of sunscreen during the day to keep these lines from getting worse. See a board-certified dermatologist for a more thorough review of your options.

The combination of Botox, fractional laser resurfacing, and a light filler such as Belotero (if needed) would get best results.  Multiple laser treatments may be needed.  Do Botox first to minimize movement during healing from the laser.

Dear olivia04:Thanks for sharing your photo. Based on the limited information and picture, I agree with you. Fillers will simply expand the cheek without stimulating an adequate amount of collagen repair. Botox will not help static epidermal fine lines. Below you will read more of the options available. My best recommendation is to seek the advice of a Certified ZO Skin Health Team for proper rejuvenation and maintenance of your skin. The process of aging is the passive inability
for your body’s tissues to repair and regenerate themselves. The act of
rejuvenation is to actively reverse and dynamically assist the repair of your
tissues on a daily basis. When significant laxity exists, surgical skin and
soft tissue redraping or lifting are required.
Facial Aging develops from the 5 different
layers of the skin, fat, muscle and bone.
During the first 20 years or so of life, the
body genetically determines how to mature and repair a constantly changing
“face” including all these layers (as it does elsewhere in the body).
Thereafter it remains robust in repairing itself from injury but the
accumulation of environmental, health and nutritional exposure will add to the
passive inability for the body to care for itself after 30. This is when
physical changes such as skin laxity, irregular pigmentation, lines and
wrinkles and skin diseases occur. We now have many options to rejuvenate the
layer or layers of the face which need care or stimulation to reverse the aging
trend.
1. The top layer or stratum corneum of the
epidermis is the rough, pigmented layer of the skin; creating most of the depth
of the wrinkle.
-Exfoliation is best for this using:
-microdermabrasion,
-Retin-A (ZO Obagi Skin Health System), which
also renews and regulates improved function of the deeper epidermis,
-Some lasers and chemical peels.
2. The second layer is the dermis which thins
with aging. The natural collagen, elastin and hyaluronic acid (which hydrate
and toughen the skin) are thickened by the use of:
-fillers (Restylane and Juvederm), or
-Retinoids (ZO Obagi Skin Health System), which
also renews and regulates improved function of the deeper dermal skin cells.
-Sculptra properly managed is the latest
sensation to stimulate firming and thickening of the dermis
-Thermi RF is a non – surgical option. Use
ThermiSMOOTH superficially or ThermiTIGHT to tighten THE skin using a
micro-invasive technique.
3.The next layer or fat also thins or droops
with age and maybe:
-filled (Restylane and Juvederm), fat grafting
or
-redraped (threadlift, short-scar, traditional,
endoscopic face / neck / brow lifts / cheek)
- LipoContouring of the face and neck with or
without fat grafting may provide the balance and contour you seek without
general anesthesia.
4. The muscle which creases the skin into
wrinkles and folds is weakened and rebalanced with
-Botox or similar injectable muscle relaxers
like Dysport or Xeomin.  

Chemical
peels and laser tightening are single, “static” attempts to “jump” the repair
system into collagen formation. They should be performed every 3 months in
order to achieve a more dynamic stimulation of the immune system.
Everyone needs one or more layered improvement and in personalized combinations
to achieve their optimal result. 

All
surgical, minimally invasive and non-invasive procedures and their combinations
should be discussed following a proper examination with a well versed, Board
Certified Plastic Surgeon who performs all of these options so you will not
receive a biased approach because he limited in his skills.I hope this is helpful. All the best!