2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174276We consider natural conformal invariants arising from the Gauss-Bonnet formulas on manifolds with boundary, and study conformal deformation problems associated to them. The key technique we used is to derive boundary C^2 estimates directly from C^0 estimates for fully nonlinear equations. The main result has appeared in the author's thesis.38 pagesDifferential GeometryAnalysis of PDEstext