The title is self-explanatory, if you're using a form field to post text of arbitrary size, what limits are considered relevant? Memory limits, browser limits, application server limits?
Update:
A form method=post is the case. The form field is being used to submit a file (its contents) to the server. The file is generated on the client using a Java Applet. An alternative would be to store the file on disk and upload it using a file input in the form. However this will leave files on disk. Database isn't an issue here, the file will be stored as a blob.