Using a function from this answer:
// returns true if $domain_name is valid; false otherwise
function is_valid_domain_name($domain_name) {
    return filter_var('abc@' . $domain_name, FILTER_VALIDATE_EMAIL) !== false;
}
// make sure $_POST['domains'] exists and isn't empty
if(isset($_POST['domains']) && $_POST['domains'] != '') {
    // split the domains around commas
    $domains = explode(',', $_POST['domains']);
    foreach($domains as $domain) {
        // remove white space from both ends of the string
        $domain = trim($domain);
        // validate the domain; if it fails, output an error but continue with the rest
        if(!is_valid_domain_name($domain)) {
            echo $domain, ' is not a valid domain name!', "\n";
        }
    }
}
else {
    $check = 1;
    echo 'Error, You didn\'t enter a domain name!';
}