On two-dimensional immersions of prescribed mean curvature in R^n

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74794We consider two-dimensional immersions of disc-type in R^n. We focus well known classical concepts and study the nonlinear elliptic systems of such mappings. Using an Osserman-type condition we give a priori-estimates of the principle curvatures for certain graphs in R^4 with prescribed mean curvature.12 pagesDifferential Geometry53A10 (Primary) 35J60, 53A07 (Secondary)On two-dimensional immersions of prescribed mean curvature in R^ntext