If I get Botox just in my elevens will it cause the rest of my forehead to wrinkle more to compensate the paralyzed 11s?

I appreciate your good question. The 11s are one of the most popular places to treat with Botox and based on your photo, you look like an excellent candidate. Botox works by relaxing the muscles that lead to the formation of certain creases. The procedure needs to target the precise muscles to produce a positive result without compromising your ability to make natural facial expressions or affecting other muscles. For this reason, you should be able to have your 11s treated with confidence without concern that other areas of the forehead will be affected. We often see the brow lift after Botox to the 11s and occasionally the forehead will wrinkle a tiny bit more as it lifts up. If this happens it is easily fixed with a touch up. Make sure you work with a board-certified cosmetic dermatologist with extensive experience using neuromodulators to ensure an optimal outcome. 

For glabellar lines (or frown lines / "11" lines), we inject Botox into the muscle, causing the muscle to weaken and improving the appearance of the lines -- and therefore, if injected properly, should not cause the forehead to wrinkle. Botox works by binding to receptors that send nerve signals for muscles to contract. Since your body makes new receptors and neurotransmitters all the time, it needs to be maintained otherwise the wrinkles will slowly return as the muscle regains function over time. Botox takes 2 to 4 weeks to start working and lasts for up to 6 months.
For deeper glabella lines or strong 11s, I use a combination of Botox with fillers, lasers and microneedling/PRP. I suggest getting a formal evaluation with an experienced cosmetic dermatologist and expert in lasers and fillers. Best, Dr. Emer

Botox in the "11's" is injected into the corrugator muscles which pull the brows together. The forehead muscles lift the brows so these muscles do very different functions. As such, having Botox in the corrugators to relax the "11's" should not effect the forehead muscles,...unless the injector places the Botox too high, which can then effect the forehead muscles and cause the "Spock" effect where the forehead muscles in the midline don't lift so well, but the outer portion of the forehead muscles do, thus lifting the outer brows but not the middle brows, leading to an awkward "Spock" appearance to the brows. This can be easily corrected by placing a little Botox in the outer forehead to balance things out.Andrew Campbell, M.D.Facial Rejuvenation SpecialistQuintessa