I know this is a duplicate post, but consider it a mild form of civilian disobedience. I mainly use my Android phone to surf the web, including this forum, and since it's a feature to replace the enter/carriage return/whatever it is button with a next button as soon as there are more than one text input field, and it's a feature of Stack Overflow to not have a search button next to the search field, I can't search Stack Overflow with my phone.
Would it really break the design that much to put a button next to the search text field?
Here's the duplicate question: No Search button - accessibility problem.