English

Uniqueness of tangent cone for biharmonic map with isolated singularity

Analysis of PDEs 2018-09-18 v1

Abstract

In this paper, we study the problem of uniqueness of tangent cone for minimizing extrinsic biharmonic maps. Following the celebrated result of Simon, we prove that if the target manifold is a compact analytic submanifold in R p and if there is one tangent map whose singularity set consists of the origin only, then this tangent map is unique.

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Cite

@article{arxiv.1809.06090,
  title  = {Uniqueness of tangent cone for biharmonic map with isolated singularity},
  author = {Youmin Chen and Hao Yin},
  journal= {arXiv preprint arXiv:1809.06090},
  year   = {2018}
}

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21 pages