Linear perturbation of the Yamabe problem on manifolds with boundary

2016/11/04 by Ghimenti, Marco, Micheletti, Anna Maria, Pistoia, Angela · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.01336

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.

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