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Hello, I'm Dr Gary. I've been practicing veterinary medicine since 2007. I look forward to helping with your questions/ concerns.
It looks like you're dealing with an aural dermatitis. Basically a skin infection of the ear flap. This can be due to the decreased blood flow out there and lack of immune cells getting to the area.
I would treat both topically and systemically. Topically, I would use a Chlorhex scrub on the area. I would also use a topical antibiotic like SSD (silver sulfadiazine) or even an over the counter Neosporin. Systemically, I would use a 7-10 day course of Cephalexin, an oral antibiotic. That should get it cleared up nicely.
I hope this helps, let me know if you have any other questions.