Recent trends in Geometric analysis and applications

Sign-changing prescribed Gaussian curvature

speaker: Francesca De Marchis (Università degli Studi di Roma Sapienza)

abstract: I will consider the problem of prescribing the Gaussian curvature (under pointwise conformal change of the metric) on surfaces with conical singularities. This question has been first raised by Troyanov TAMS,1991 and it is a generalization of the Kazdan-Warner problem for regular surfaces, known as the Nirenberg problem on the sphere. From the analytical point of view, this amounts to solve a singular Liouville-type equation on the surface. Initially, in the supercritical regime, only the case of positive prescribed Gaussian curvature has been attacked. In this talk I will present some results (obtained in collaboration with R. L\`{o}pez-Soriano, D. Ruiz, T. D`Aprile and I. Ianni) concerning the sign-changing case.

timetable:
Tue 26 Nov, 15:50 - 16:40, Aula Dini
documents:

talk

<< Go back