Why do you want to do this? Are you writing one Servlet for the entire web app or are you rolling your own framework? What do you do when one JSP could have many different ways to process a request?
Do what is common J2EE/Web practice. Have the page submit to a URL that represents the processing you want. This way you can have multiple pages call the same URL for the same processing. Simply use the <servlet-mapping> tag in web.xml to bind the URL to a Servlet defined with a <servlet> tag and you're done. No writing your own code and thinking of goofy names to call your framework.