Show content only if user is an owner of this content (node)
If possible then create your own permission which should be visible under 
**Variants » Basic » Selection rules ** section. For creating panel permission, check following steps:
1. Create folder structure like module -> plugins -> access -> filename.inc
2. Add following function and hooks under that file:

/**
 * @file
 * Plugin to provide access control based upon role membership.
 */

/**
 * Plugins are described by creating a $plugin array which will be used
 * by the system that includes this file.
 */
$plugin = array(
  'title' =&gt; t("Community: Access"),
  'description' =&gt; t('Control access by community.'),
  'callback' =&gt; 'dc_visibility_ctools_access_check',
  'default' =&gt; array('community' =&gt; array()),
  'settings form' =&gt; 'dc_visibility_ctools_access_settings',
  'settings form submit' =&gt; 'dc_visibility_ctools_access_settings_submit',
  'summary' =&gt; 'dc_visibility_ctools_access_summary',
  'all contexts' =&gt; TRUE,
);

/**
 * Settings form for the 'by role' access plugin
 */
function dc_visibility_ctools_access_settings($form, &amp;$form_state, $conf) {

  return $form;
}

/**
 * Compress the community allowed to the minimum.
 */
function dc_visibility_ctools_access_settings_submit($form, &amp;$form_state) {
  $form_state['values']['settings']['community'] = array_keys(array_filter($form_state['values']['settings']['community']));
}

/**
 * Check for access.
 */
function dc_visibility_ctools_access_check($conf, $context) {

}

function dc_visibility_ctools_access_summary($conf, $context){

}