Resumen de Una nota sobre el problema de la deformación conforme de métricas en la bola unitaria

Carlos Arturo Escudero Salcedo, Gonzalo García

• In this paper we show the existence of a family of functions R and h for which does not exist a conformal metric to the Euclidean metric on the unit ball in Rn such that R is not its scalar curvature and h is not its mean curvature. To find this family, we use the moving spheres method and the maximum principle for elliptic operators.