UPDATES:
25 March @ 10:39
The issue has been resolved. Any further problems should be reported via regular channels to customer support, EVE Status Twitter, and forums. Thank you!
16:11
The connection issues have been caused by problems on one of our provider’s side: https://portal.linx.net/
Our services are all in green and we are monitoring the situation. We will respond accordingly should any more incidents occur. Thank you!