FREE DISCONTINUITY PROBLEMS WITH UNBOUNDED DATA
Antonio Leaci · Mathematical Models and Methods in Applied Sciences · 1994
We prove the existence of a minimizing pair for a free discontinuity problem, i.e. a variational problem in which the unknowns are a closed set K and a function suitably smooth outside K. Examples of such problems come from pattern recognition and mathematical physics, when both “volume” energy and “surface” energy are present.