Possible Suggestion/Solution #1

You can find information on general SalesForce limits here (with other limits for e.g. accessibility linked from this page):

There is no mention of a limit on cases assigned to a user, and that is not something we've seen in our usage.

Attribution to: mc110

Possible Suggestion/Solution #2

There is no specific limit to the number of records a user can own. Why are you asking the question? Do you believe you have hit such a limit?

Attribution to: JimRae
This content is remixed from stackoverflow or stackexchange. Please visit https://salesforce.stackexchange.com/questions/34669