We 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.
No takes yet. Share an insight, caveat, or question.
Marc Troyanov (1991) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: