How can PHP be used to handle string comparison involving special characters like umlauts?

When comparing strings in PHP that contain special characters like umlauts, it's important to use the appropriate functions that handle multibyte characters. One way to do this is by using the `mb_strtolower()` function to convert both strings to lowercase and then comparing them using `strcmp()` or `strcasecmp()` functions.

$string1 = "Möller";
$string2 = "möller";

$lowercase1 = mb_strtolower($string1, 'UTF-8');
$lowercase2 = mb_strtolower($string2, 'UTF-8');

if (strcmp($lowercase1, $lowercase2) === 0) {
    echo "The strings are equal.";
} else {
    echo "The strings are not equal.";
}