functions.php

<?php

// Nav Menu Dropdown Class
include_once( CHILD_DIR . '/lib/classes/nav-menu-dropdown.php' );

/**
 * Mobile Menu
 *
 */
function be_mobile_menu() {
	wp_nav_menu( array(
		'theme_location' => 'mobile',
		'walker'         => new Walker_Nav_Menu_Dropdown(),
		'items_wrap'     => '<div class="mobile-menu"><form><select onchange="if (this.value) window.location.href=this.value">%3$s</select></form></div>',
	) );	
}
add_action( 'genesis_before_header', 'be_mobile_menu' );

nav-menu-dropdown.php

<?php
/**
 * Nav Menu Dropdown
 *
 * @package      BE_Genesis_Child
 * @since        1.0.0
 * @link         https://github.com/billerickson/BE-Genesis-Child
 * @author       Bill Erickson <bill@billerickson.net>
 * @copyright    Copyright (c) 2011, Bill Erickson
 * @license      http://opensource.org/licenses/gpl-2.0.php GNU Public License
 *
 */
 
class Walker_Nav_Menu_Dropdown extends Walker_Nav_Menu {
	function start_lvl(&$output, $depth = 0, $args = array()){
		$indent = str_repeat("\t", $depth); // don't output children opening tag (`<ul>`)
	}

	function end_lvl(&$output, $depth = 0, $args = array() ){
		$indent = str_repeat("\t", $depth); // don't output children closing tag
	}

	/**
	* Start the element output.
	*
	* @param  string $output Passed by reference. Used to append additional content.
	* @param  object $item   Menu item data object.
	* @param  int $depth     Depth of menu item. May be used for padding.
	* @param  array $args    Additional strings.
	* @return void
	*/
	function start_el(&$output, $item, $depth = 0, $args = array(), $id = 0) {
 		$url = '#' !== $item->url ? $item->url : '';
 		$output .= '<option value="' . $url . '">' . $item->title;
	}	

	function end_el(&$output, $item, $depth = 0, $args = array(), $id = 0){
		$output .= "</option>\n"; // replace closing </li> with the option tag
	}
}

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