#### Vol. 299, No. 2, 2019

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Uniqueness of tangent cones for biharmonic maps with isolated singularities

### Youmin Chen and Hao Yin

Vol. 299 (2019), No. 2, 401–426
DOI: 10.2140/pjm.2019.299.401
##### Abstract

We study the problem of uniqueness of a 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.

##### Keywords
biharmonic map, tangent map
Primary: 58E20
Secondary: 35J30