Ok, this should be straight out of the box ;-)
What I find strange is that the ressources you seem to be asked for access to use are some of the "built in" ressources (Dojo, css, etc.) in XPages...???
So first thing is really to test that this has nothing to do with your application:
- Create a new application
- Set a proper ACL that will force you to log in (Default reader or higher, a person called "Anonymous" no access)
- Create a simple XPage and open it from the browser
What happens?
If everything works, then you need to add some elements that use the ressources (css, Dojo, etc.). Then what happens?
I guess you will see the same problems... If so, you need to have a look at the way you have set up your server for web access. Are you using internet sites? Do you use basic or session based authentication?
What does the ACL of your application look like?
What you experience could be caused by "realms" i.e. the "path" to which you log in. A simple example:
If you are required to log in to access the ressource /path/db.nsf/view/doc1?openDocument then your realm will be "/path/db.nsf/view/" - if then you try to create a document using /path/db.nsf/newDoc.xsp then you could be asked for access to the realm "/path/db.nsf/".
I must admit that I haven't seen these issues for quite a while - but that may be due to the fact that I control access to the database as a whole - if users need access to something inside the database I implement it using "public access". But first, let us hear a little more about your findings before we chase it as a realm issue ;-)
EDIT:
Ok, so you are using basic authentication. There are lots of good reasons to use session based authentication instead. However, that does not explain your problem. What OS are you using? An OS with file access in the file structure? Could it be that the user running Domino does not have access to the ressources? Have any (file) restrictions to these directories been set up? You really should not be prompted to login for these ressources....
Did you try another "new" application?
/John