supported by Spanish government Grants MTM2014-52402-C3-1-P and MTM2017-85757-P;the BBVA Foundation Grant for Researchers and Cultural Creators 2016;supported by NSF Grant DMS-1501004.
We consider the problem of finding on a given Euclidean domainof dimension n≥3 a complete conformally flat metric whose Schouten curvature A satisfies some equations of the form f(λ(−A))=1.This generalizes a proble...