If not already cooked, boil or steam the lobster and remove the meat from the shells. Chop into bite-sized pieces.

In a skillet over low heat, melt the butter gently without browning it.

Add the lobster meat to the skillet and warm it slowly, stirring gently to coat it with butter.

Stir in lemon juice, chopped dill, salt, and black pepper. Remove from heat.

In a separate pan, melt the remaining butter and toast the rolls on all sides until golden.

Fill each toasted roll generously with the warm lobster mixture.

Serve immediately with lemon wedges if desired.