What are the benefits and problems of using Amazon web service (AWS) with ESRI Software?

Hi,

It depends on what your business requirements are; ESRI is available as a SAAS version as well so there is no real need to deploy it if you wish to just consume the service.

to answer your question - Geo-Interface software are resource intensive and the main benefit of using AWS will be your ability to scale up or down the compute power you need hence resulting in cost saving an no need to run expensive HW.