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

2020/09/01 by Ghimenti, Marco G., Micheletti, Anna Maria
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.00422

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.

Related

• Blowing up solutions for supercritical Yamabe problems on manifolds with\n non umbilic boundary
• Blow-up phenomena for linearly perturbed Yamabe problem on manifolds\n with umbilic boundary
• Blow-up phenomena for a boundary Yamabe problem with umbilic boundary
• Linear perturbation of the Yamabe problem on manifolds with boundary
• Compactness and blow up results for doubly perturbed Yamabe problems on\n manifolds with non umbilic boundary