Troyanov, Marc2007-12-172007-12-172007-12-17199110.2307/2001742https://infoscience.epfl.ch/handle/20.500.14299/15760We study the Berger-Nirenberg problem on surfaces with conical singularities, i.e, we discuss conditions under which a function on a Riemann surface is the Gaussian curvature of some conformal metric with a prescribed set of singularities of conical types.Conical singularitiescurvaturePrescribing curvature on compact surfaces with conical singularitiestext::journal::journal article::research article