Basterrechea, S.Dacorogna, B.2014-10-232014-10-232014-10-23201410.1080/01630563.2014.895746https://infoscience.epfl.ch/handle/20.500.14299/107890WOS:000340106100008We discuss three types of problems. The first one involves Jacobian equations and the two others involve Hessian equations. We proceed by fixed point, obtaining the results under a smallness assumption.Hessian equationsJacobian equationsMonge-Ampere equationExistence Of Solutions For Jacobian And Hessian Equations Under Smallness Assumptionstext::journal::journal article::research article