Sorry William, Laminate is not easily repaired. If you can find matching laminate, it is possible that you could strip the laminate to the nearest seam and glue down new materials on the existing substrate. I don't belive you will be able to repair the existing laminate. It must be removed and new materials applied, or a new countertop fabricated. New pre-fabricated laminate counters are not very expensive, and would be a better alternative than trying to repair or fabricate new ones.
More practically, this might be a good time to consider moving to a tile counter-top. If you don't have an attached (radius) backsplash you could apply backerboard right over the existing laminate and put down tile. Then you can put hot pots on the counter without worrying. Of course you could also go to butcher block, stone tile, solid stone or other alternatives depending on your budget.