An existence theorem for the Yamabe problem on manifolds with boundary

Brendle, Simon, and Chen, Szu-Yu Sophie. "An existence theorem for the Yamabe problem on manifolds with boundary." Journal of the European Mathematical Society 016.5 (2014): 991-1016. <http://eudml.org/doc/277346>.

@article{Brendle2014,
abstract = {Let $(M,g)$ be a compact Riemannian manifold with boundary. We consider the problem (first studied by Escobar in 1992) of finding a conformal metric with constant scalar curvature in the interior and zero mean curvature on the boundary. Using a local test function construction, we are able to settle most cases left open by Escobar’s work. Moreover, we reduce the remaining cases to the positive mass theorem.},
author = {Brendle, Simon, Chen, Szu-Yu Sophie},
journal = {Journal of the European Mathematical Society},
keywords = {Yamabe problem; manifolds with boundary; positive mass theorem; Yamabe problem; manifolds with boundary; positive mass theorem},
language = {eng},
number = {5},
pages = {991-1016},
publisher = {European Mathematical Society Publishing House},
title = {An existence theorem for the Yamabe problem on manifolds with boundary},
url = {http://eudml.org/doc/277346},
volume = {016},
year = {2014},
}

TY - JOUR
AU - Brendle, Simon
AU - Chen, Szu-Yu Sophie
TI - An existence theorem for the Yamabe problem on manifolds with boundary
JO - Journal of the European Mathematical Society
PY - 2014
PB - European Mathematical Society Publishing House
VL - 016
IS - 5
SP - 991
EP - 1016
AB - Let $(M,g)$ be a compact Riemannian manifold with boundary. We consider the problem (first studied by Escobar in 1992) of finding a conformal metric with constant scalar curvature in the interior and zero mean curvature on the boundary. Using a local test function construction, we are able to settle most cases left open by Escobar’s work. Moreover, we reduce the remaining cases to the positive mass theorem.
LA - eng
KW - Yamabe problem; manifolds with boundary; positive mass theorem; Yamabe problem; manifolds with boundary; positive mass theorem
UR - http://eudml.org/doc/277346
ER -