| Abstract: |
| In this talk, we will explore the construction of conformal metrics on compact Riemannian surface with boundary, featuring conical singularities and corners while prescribing Gaussian and geodesic curvatures. We will establish conditions for the existence of such metrics by studying a nonlinear elliptic partial differential equation (PDE) using a variational approach. This work is in collaboration with L. Battaglia from the University of Roma TRE. |
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