var $tabs = jQuery('#tabs').tabs();
jQuery('#edit-submit').click(function() {
      alert('changing tabs');
      $tabs.tabs('select', 1);
});

jQuery('#edit-submit').live('click', function() { alert("change tabs now") });

function myform($form, &$form_state) {
    $searchterm = !empty($form_state['values']['searchterm']) ? $form_state['values']['searchterm'] : "";

    $form['searchterm'] = array(
      '#type' => 'textfield'
    );

    $form['submit'] = array(
    '#type' => 'button',
    '#value' => t('Search'),
    '#ajax' => array(
          'callback' => 'ajax_myform_callback',
          'wrapper' => 'searchresults-div'),
    );

    $output = stuff_to_add();

    $form['searchresults'] = array(
    '#type' => 'markup',
    '#prefix' => '<div id="searchresults-div">',
    '#suffix' => '</div>',
    '#markup' => $output,
    );

    return $form;
}

function ajax_myform_callback($form, $form_state) {
    return $form['searchresults'];
}

jQuery('#edit-submit').live('mouseover', function() { alert("mouseover") });

jQuery('#edit-submit').live('click', function() { alert("click") });