Evernote does not offer an official desktop client for Linux, but there are a few workarounds. For a better-than-browser experience, try one of these methods.
Evernote Web and Chrome app
The browser-based version of Evernote is the only officially supported way of using the application on Linux. It works, but if you’re a tab hoarder like me, editing your notes in a tab in a sea of tabs can be a bit tricky. On top of that, there is the additional baggage of running a full-fledged web browser.