English

Linear perturbation of the Yamabe problem on manifolds with boundary

Analysis of PDEs 2017-01-20 v3 Differential Geometry

Abstract

We build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with boundary, provided the dimension of the manifold is n>6 and the trace-free part of the second fundamental form is non-zero everywhere on the boundary.

Keywords

Cite

@article{arxiv.1611.01336,
  title  = {Linear perturbation of the Yamabe problem on manifolds with boundary},
  author = {Marco Ghimenti and Anna Maria Micheletti and Angela Pistoia},
  journal= {arXiv preprint arXiv:1611.01336},
  year   = {2017}
}