@article{ASNSP_1988_4_15_4_583_0, author = {Caffarelli, Luis A.}, title = {A {Harnack} inequality approach to the regularity of free boundaries. {Part} {III} : existence theory, compactness, and dependence on $X$}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {583--602}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 15}, number = {4}, year = {1988}, mrnumber = {1029856}, zbl = {0702.35249}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1988_4_15_4_583_0/} }