2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111444We consider a nonlinear version of the Yamabe problem on locally conformally flat compact manifolds with boundary. The main technique we used is to derive boundary $C^2$ estimates directly from boundary $C^0$ estimates. In particular, the result is a generalization of the work by Escobar.16 pagesDifferential GeometryAnalysis of PDEstext