How do I make a PHP form that submits to self?

The proper way would be to use $_SERVER["PHP_SELF"] (in conjunction with htmlspecialchars to avoid possible exploits). You can also just skip the action= part empty, which is not W3C valid, but currently works in most (all?) browsers - the default is to submit to self if it's empty.

Here is an example form that takes a name and email, and then displays the values you have entered upon submit:

<?php if (!empty($_POST)): ?>
    Welcome, <?php echo htmlspecialchars($_POST["name"]); ?>!<br>
    Your email is <?php echo htmlspecialchars($_POST["email"]); ?>.<br>
<?php else: ?>
    <form action="<?php echo htmlspecialchars($_SERVER["PHP_SELF"]); ?>" method="post">
        Name: <input type="text" name="name"><br>
        Email: <input type="text" name="email"><br>
        <input type="submit">
    </form>
<?php endif; ?>

I guess , you means $_SERVER['PHP_SELF']. And if so , you really shouldn't use it without sanitizing it first. This leaves you open to XSS attacks.

The if(isset($_POST['submit'])) condition should be above all the HTML output, and should contain a header() function with a redirect to current page again (only now , with some nice notice that "emails has been sent" .. or something ). For that you will have to use $_SESSION or $_COOKIE.

And please. Stop using $_REQUEST. It too poses a security threat.