English

Blowing up solutions for supercritical Yamabe problems on manifolds with umbilic boundary

Differential Geometry 2020-09-02 v1 Analysis of PDEs

Abstract

We build blowing-up solutions for a supercritical perturbation of the Yamabe problem on manifolds with umbilic boundary provided the dimension of the manifold is n>7 and that the Weyl tensor W(x) is not vanishing on the boundary of M.

Keywords

Cite

@article{arxiv.2009.00422,
  title  = {Blowing up solutions for supercritical Yamabe problems on manifolds with umbilic boundary},
  author = {Marco G. Ghimenti and Anna Maria Micheletti},
  journal= {arXiv preprint arXiv:2009.00422},
  year   = {2020}
}