The DROWN vulnerability in OpenSSL, CVE-2016-0800, does not affect most NGINX users. See this article for details and preventative steps.
This blog post provides an overview of an early alpha patch to enable HTTP/2 support in NGINX. Installation instructions are also provided.
Learn how to protect NGINX against the OpenSSL vulnerability announced in June 2015 (CVE-2015-1793)
The OpenSSL project announced fixes to 7 security vulnerabilities on 5 June 2014. An update to OpenSSL is generally sufficient to address this.
Read this important information about what should be checked in regards to NGINX and OpenSSL installation with the Heartbleed vulnerability in the wild