Sidewalk concrete patch

Greetings,

I live on a hill. Everything shifts a little as time goes
by.

My concrete sidewalk slabs misalign. The corner of one
will elevate up to about 3/4" above the adjoining one.

So folks won't stub their toes, I've patched such places
with vinyl concrete patch and regular concrete mix. Neither
lasts thru a winter before cracking to hell and gone.

Anyone know of a better patching substance to use in
this situation?

TIA,
Puddin'