For any questions that look like those below:
Why am I not getting results for query A, in AJAX, but I am getting results for query A, without AJAX?
Why am I not getting results for query A?
Why am I not getting results for query B?
For all of the above questions, you should refer to the online Solr documentation, or, the Drupal Community (if using Drupal).
Opensolr, provides the Solr as a Service platform.
Solr search results are not under the responsability of Opensolr, but rather, the way queries will work, depends solely on your Solr implementation, or the implementation of the CMS system you are using.