@misc{10481/85818,
year = {2023},
month = {9},
url = {https://hdl.handle.net/10481/85818},
abstract = {In this paper we address two boundary cases of the classical Kazdan-
Warner problem. More precisely, we consider the problem of prescribing the Gaussian
and boundary geodesic curvature on a disk of R2, and the scalar and mean curvature
on a ball in higher dimensions, via a conformal change of the metric. We deal with the
case of negative interior curvature and positive boundary curvature. Using a Ljapunov-
Schmidt procedure, we obtain new existence results when the prescribed functions are
close to constants.},
organization = {Spanish Ministry of Universities},
organization = {Next Generation
EU funds PID2021-122122NB-I00},
organization = {University of Granada},
organization = {FEDER-MINECO},
organization = {J. Andalucia FQM-116},
organization = {University “Sapienza Università di Roma”},
organization = {Istituto Nazionale di Alta Matematica (INdAM)},
organization = {CUP E55F22000270001},
publisher = {Cornell University},
keywords = {Prescribed curvature},
keywords = {Conformal metrics},
keywords = {Ljapunov-Schmidt construction},
title = {Prescribing nearly constant curvatures on balls},
doi = {10.1017/prm.2023.111},
author = {Battaglia, Luca and Cruz-Blázquez, Sergio and Pistoia, Angela},
}