Does not consider that $base_url isn't always '/'

The script apachesolr_ajax.js makes hard coded assumptions that the base path of the Drupal site is '/'.

      $.post('/search/apachesolr_ajax' + state, { js: 1 }, apachesolr_ajax_response_callback, 'json');

This should be

      $.post(Drupal.settings.basePath + 'search/apachesolr_ajax' + state, { js: 1 }, apachesolr_ajax_response_callback, 'json');