is this just a random issue report or could you explain what do you mean by that?
require 'openssl' clearly works in JRuby -> if it weren't most libraries such a RubyGems wouldn't work

JRuby clearly does support the API of Ruby's openssl library, so this is not a valid report. If you have a specific issue using openssl in JRuby please file a more detailed report.

I am using Mechanize gem(jruby-9.1.15.0) to get the page, but following error is there.

OpenSSL::SSL::SSLError: handshake alert: unrecognized_name
from org/jruby/ext/openssl/SSLSocket.java:228:in `connect_nonblock'

My code is..
agent = Mechanize.new
agent.verify_mode = OpenSSL::SSL::VERIFY_NONE
page = agent.get "some url"

Then I added OpenSSL and jruby-openssl gems but i did not find any solution for that.