General synonyms:
* Evade: To avoid or escape from someone or something.
* Escape: To get away from something or someone.
* Avoid: To stay away from something or someone.
* Dodge: To move quickly and suddenly to avoid being hit or caught.
* Circumvent: To find a way around something.
* Outwit: To be cleverer than someone and deceive them.
* Escape the grasp of: To avoid being captured or controlled by something.
More specific synonyms depending on context:
* Befuddle: To confuse or puzzle someone. (Used when something is difficult to understand or solve)
* Defy: To refuse to obey something or someone. (Used when someone is trying to resist something)
* Escape the notice of: To avoid being seen or noticed.
* Evade capture: To successfully avoid being caught.
The best synonym to use will depend on the specific context in which you are using the word "elude."