A compactness result for polyharmonic maps in the critical dimension

Title:

A compactness result for polyharmonic maps in the critical dimension

Creator:

Zheng, Shenzhou

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:4739b6da-deba-4632-bc72-1d7282601930
uuid:4739b6da-deba-4632-bc72-1d7282601930
issn:0011-4642

Subject:

singularity (matematika), mathematics, singularities (mathematics), polyharmonic map, compactness, Coulomb moving frame, Palais-Smale sequence, removable singularity, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

For n=2m\geqslant 4, let \Omega\in \mathbb{R}^{n} be a bounded smooth domain and N\subset \mathbb{R}^{L} a compact smooth Riemannian manifold without boundary. Suppose that \left \{ uk \right \}\in W^{m,2}\left ( \Omega ,N \right ) is a sequence of weak solutions in the critical dimension to the perturbed m-polyharmonic maps \frac{{\text{d}}}{{{\text{dt}}}}\left| {_{t = 0}{E_m}({\text{II}}(u + t\xi )) = 0} \right with Ωk → 0 in W^{m,2}\left( \Omega ,N \right )* and {u_k} \rightharpoonup u weakly in W^{m,2}\left( \Omega ,N \right ). Then u is an m-polyharmonic map. In particular, the space of m-polyharmonic maps is sequentially compact for the weak- W^{m,2} topology., Shenzhou Zheng., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

137-150

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:1

Harvested from:

CDK

Metadata only:

false