@UNPUBLISHED{publication1, title = "Fully nonlinear integro-differential equations with deforming kernels", author = "{CAFFARELLI, Luis A.} and {TEYMURAZYAN, Rafayel} and {URBANO, Jos{\'{e}} Miguel}", year = "2018-09-18", abstract = " We develop a regularity theory for integro-differential equations with kernels deforming in space like sections of a convex solution of a Monge-Amp\ère equation. We prove an ABP estimate and a Harnack inequality and derive H\ölder and C1,\α regularity results for solutions. ", url = "http://www.mat.uc.pt/preprints/eng\_2018.html", note = "" }