@article{AIHPC_2017__34_4_845_0, author = {Koch, Herbert and R\"uland, Angkana and Shi, Wenhui}, title = {The variable coefficient thin obstacle problem: {Optimal} regularity and regularity of the regular free boundary}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {845--897}, publisher = {Elsevier}, volume = {34}, number = {4}, year = {2017}, doi = {10.1016/j.anihpc.2016.08.001}, mrnumber = {3661863}, zbl = {1435.35421}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2016.08.001/} }