@misc{10481/80126,
year = {2019},
month = {1},
url = {https://hdl.handle.net/10481/80126},
abstract = {We consider the problem of prescribing the Gaussian and
the geodesic curvatures of a compact surface with boundary by a conformal
deformation of the metric. We derive some existence results using a
variational approach, either by minimization of the Euler-Lagrange energy
or via min-max methods. One of the main tools in our approach is
a blow-up analysis of solutions, which in the present setting can have diverging
volume. To our knowledge, this is the first time in which such an
aspect is treated. Key ingredients in our arguments are: a blow-up analysis
around a sequence of points different from local maxima; the use of
holomorphic domain-variations; and Morse-index estimates.},
organization = {Spanish Government	MTM2015-68210-P	
PGC2018-096422-B-100},
organization = {project Geometric Variational Problems and Finanziamento a supporto della ricerca di base from Scuola Normale Superiore},
organization = {Ministry of Education, Universities and Research (MIUR)	FQM-116	
J. Andalucia		
2015KB9WPT001},
publisher = {Société Mathematique de France},
keywords = {Prescribed curvature problem},
keywords = {Conformal metric},
keywords = {Variational methods},
keywords = {Blow-up analysis},
title = {Conformal metrics with prescribed Gaussian and Geodesic curvatures},
author = {López Soriano, Rafael and Ruiz Aguilar, David},
}