You can create a specific project, that is, an alternate project identification (ID), for the application. Set either RG_project_name or Resource_project_name or both, for the resource group and/or the resource, so that the application is started up under the specified project. Refer to the RGM doc for how to set these system properties.
See “Cluster Administration and Application Development” in Sun Cluster Concepts Guide for Solaris OS.