Sharepoint 2007 Problem

I would expect that you can configure aliases within Sharepoint to tell the app to reference itself using the public hostname without the specific port. If that's not possible, you can use a stream profile and iRule to rewrite the references to :8081 with nothing. To use the example rule, add a blank stream profile to the VIP and create a custom HTTP profile with Response Chunking set to Rechunk.

 when HTTP_REQUEST { 
     Disable the stream filter by default 
    STREAM::disable 
 }
 when HTTP_RESPONSE { 
     
     Rewrite the response content 
     
     Check if response type is text 
    if {[HTTP::header value Content-Type] contains "text"}{ 
        Replace any http:// instance with https://, unless the original string is http://example.com 
       STREAM::expression "@http://example.com:8081@https://example.com@" 
        Enable the stream filter for this response only 
       STREAM::enable 
    } 
     
     Rewrite the response headers 
     
    if {[HTTP::is_redirect]}{ 
       HTTP::header replace Location [string map "http://example.com:8081 https://example.com" [HTTP::header value Location]] 
    } 
 } 

You can disable the rewrite redirects option on the HTTPS VIP's HTTP profile as the iRule does this. The rest of your config as you described it should be fine.

Aaron