Sharepoint has path/link to another resource

One way you could do that is with a Local Traffic Policy, checking for

URI

to be /application/ and then changing the pool to a different pool containing the 10.10.10.2 server.

That would be more efficient than using an iRule, but if you wanted to use an iRule, you could check for the uri /application/ and then change the pool yourself.

when HTTP_REQUEST {
    switch -glob -- [string tolower [HTTP::uri]] {
        "/application" -
        "/application/" {
            pool ANOTHER_POOL
        }
        "*CONTAINS*" {}
        "STARTSWITH*" {}
        "*ENDSWITH" {}            
    }
}

With the

switch

and the

-glob

parameter, you can do wildcard searching, so it'd be like using contains or starts_with operators (the latter 3 I put in there are examples).