prova con mysql_real_escape_string
LIKE '%" . mysql_real_escape_string($find) . "%'
o
LIKE '%Pete%27s%'
oppure se stai usando pdo puoi fare mi piace
$search ='Pete\'s'
$stmt = $db->prepare("SELECT * FROM `smd_article` WHERE `copy` LIKE ?");
$stmt->bindValue(1, "%$search%", PDO::PARAM_STR);
$stmt->execute();