I have depression at the corner of both eyes. Any suggestions? (photos)

Lasers or radiofrequency in combination with fillers would help you dramatically.  But given your skin type, you need to see an expert for treatment.  Find someone with experience using microcannulas for fillers and who did a laser fellowship.  Best, Dr. Emer.

It appears from your photos that you have the so called "tear trough" deformity.  It is not a real deformity, and is rather common.  If it is bothersome to you, consider seeing an experienced doctor that is skilled in using filler in this part of the face. 

It appears you have hollow under eye area (tear trough deformity) which causes shadow effect with dark circle appearance. You will benefit from filler injection in the hollow area. See an oculoplastic specialist.

Soft dermal fillers such as Belotero ( Esthelis) is a good option for tear troughs. You need to see a Plastic Surgeon who can discuss the various optionsAll the best

Tear trough deformities are best treated by either injectable fillers or fat injections. Each has its own advantages and disadvantages.