I had a similar issue and eventually solved it. I don't remember all the details of how I got to the end result but here is the code I eventually used to get it to work.
It is for controlling a camera robot. Pressing and holding the forward arrow makes the robot move forward while the button is held down and stops as soon as the button is released.
It works both on PC browser and on smartphone browsers. I've only tried it on a couple of browsers on Samsung though.
It uses the onmousup and onmousedown for the PC while for the smartphone it is a bit more complicated using the touch events.
Also important is the oncontextmenu="absorbEvent_()"
which prevents the context menu from appearing when you hold down a button.
<button id="moveForward"
onmousedown="moveForward_onmousedown()"
onmouseup="anyMovementButton_onmouseup()"
onmouseout="anyMovementButton_onmouseout()"
ontouchstart="moveForward_onmousedown()"
ontouchend="anyMovementButton_onmouseup()"
ontouchmove="anyMovementButton_onmouseout()"
ontouchcancel="anyMovementButton_onmouseout()"
oncontextmenu="absorbEvent_()">
<svg width="34" height="34">
<polygon points="2,32 17,2 32,32" style="fill:lime;stroke:purple;stroke-width:3;fill-rule:evenodd;"></polygon>
</svg>
</button>
function moveLeft_onmousedown() {startMovement('left' ); }
function moveReverse_onmousedown() {startMovement('reverse'); }
function moveForward_onmousedown() {startMovement('forward'); }
function moveRight_onmousedown() {startMovement('right' ); }
function tiltUp_onmousedown() { singleMove('up' ); }
function tiltDown_onmousedown() { singleMove('down' ); }
function anyMovementButton_onmouseup() {stopMovement();}
function anyMovementButton_onmouseout() {stopMovement();}
// this function is for preventing context menu on mobile browser
function absorbEvent_(event)
{
var e = event || window.event;
e.preventDefault && e.preventDefault();
e.stopPropagation && e.stopPropagation();
e.cancelBubble = true;
e.returnValue = false;
return false;
}