Chosen Solution
After I replaced the broken Display of my iPhone 5 with a new one, most of the display works, but on some places (like the lower right part) it does not react to any touch. What can I do? Thank you very much.
Marius has a good idea, but most people dont have another display lying around. It sounds like it might be defective, you didnt plug the connector in all the way or you have touch disease. First thing to try is to make sure your connectors for the display are properly seated. If they are and you have the same results, return your display and get a new one. If you still have the same result, you probably have touch disease, which will need to be taken to a microsolderer who can fix it.