have (someone or an animal) cornered
To surround someone or an animal so that they are unable to escape. There's no way the burglar can get away now—the cops have him cornered. Yeah, and what exactly are we supposed to do once we have this animal cornered?
have someone or something cornered
1. Lit. to have someone or something trapped as in a corner. We had the wild cat cornered, but it jumped over the wall and got away.
2. Fig. to have someone or something located and under control. I think I have the part you need cornered in a warehouse in Indiana. We'll order it.