English

Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary

Analysis of PDEs 2018-04-17 v1 Differential Geometry

Abstract

We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with umbilic boundary, provided the Weyl tensor is nonzero everywhere on the boundary and the dimension of the manifold is n>10.

Keywords

Cite

@article{arxiv.1804.05559,
  title  = {Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary},
  author = {Marco Ghimenti and Anna Maria Micheletti and Angela Pistoia},
  journal= {arXiv preprint arXiv:1804.05559},
  year   = {2018}
}