Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds
Vétois, Jérôme ; Robert, Frédéric
HAL, hal-01288029 / Harvested from HAL
Text on HAL
Solutions to scalar curvature equations have the property that all possible blow-up points are isolated, at least in low dimensions. This property is commonly used as the first step in the proofs of compactness. We show that this result becomes false for some arbitrarily small, smooth perturbations of the potential.
Publié le : 2014-07-04
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-01288029,
     author = {V\'etois, J\'er\^ome and Robert, Fr\'ed\'eric},
     title = {Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds},
     journal = {HAL},
     volume = {2014},
     number = {0},
     year = {2014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01288029}
}

Vétois, Jérôme; Robert, Frédéric. Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds. HAL, Tome 2014 (2014) no. 0, . http://gdmltest.u-ga.fr/item/hal-01288029/