Neck analysis of extrinsic polyharmonic maps
نویسندگان
چکیده
منابع مشابه
On polyharmonic maps into spheres in the critical dimension
We prove that every polyharmonic map u ∈ W(B, SN−1) is smooth in the critical dimension n = 2m. Moreover, in every dimension n, a weak limit u ∈ W(B, SN−1) of a sequence of polyharmonic maps uj ∈ W(B, SN−1) is also polyharmonic. The proofs are based on the equivalence of the polyharmonic map equations with a system of lower order conservation laws in divergence-like form. The proof of regularit...
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2017
ISSN: 0232-704X,1572-9060
DOI: 10.1007/s10455-017-9551-7