<form>
...
<input type=submit name=name1 ...>
<input type=submit name=name2 ...>
</form>

$('#searchForm').bind( 'submit', function() {
                bx_loading('searchForm', true);
                 var sQuery = $('input', '#searchForm').serialize();
                 $.post('searchKeywordContent.php', sQuery, function(data) {

                         $('#searchArea').html(data);
                         bx_loading('searchForm', false);
                    }
                );
            return false;
          }
         );

<form action="">
    <input type="submit" name="opa1">
    <input type="submit" name="opa2">
</form>

<script type="text/javascript">
    $('form').on('click', 'input[type="submit"]', function(e) {
        e.preventDefault();
        submitForm();

        // console.log($(this).attr('name'));
    });

    $('form').on('submit', submitForm);
</script>

function Название функции([Объект event]) {
// ...
}

$("р, div").click(function(е)   {
       $("#divl")
.append("Элемент " + e.srcElement.tagName + "<br>");
});

$('form').on('submit',function(e) {
    var $btn = $(document.activeElement,this);
    if ($btn.is('button, input[type="submit"], input[type="image"]') && $btn.is('[name]'))
    {console.log($btn);}
    return false;
});

<form id="form" action="">
        <input type="text" placeholder="Enter your name"/>
        <input class="submit-1" type="submit" value="Button 1"/>
        <input class="submit-2" type="submit" value="Button 2"/>
    </form>

$('#form :submit').on('click', function (e) {
    if($(e.target).is('.submit-1')) {
        console.log('click submit 1');
    } else {
        console.log('click submit 2');
    }
});

$('#form').on('submit', function(e){
    //alert(e.relatedTarget.name);//не работает в Chrome и FF
    alert($(document.activeElement,this)[0].name);
    return false;
});

$('#youForm').on('submit', function() { $(this).css('color', '#fff'); });