Partial regularity of minimizers of a functional involving forms and maps期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Partial regularity of minimizers of a functional involving forms and maps

Authors:

Institution:

(1) Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy;(2) Department of Mathematics, University of Queensland, Brisbane, QLD, 4072, Australia

Abstract:

We discuss the partial regularity of minimizers of energy functionals such as

$\frac{1} {p}\int_\Omega {\sigma (u)|dA|^p + \frac{1} {2}|\nabla u|^{2p} ]\,dx,}$

where u is a map from a domain $\Omega \in {\text{R}}^n$ into the m-dimensional unit sphere of ${\mathbf{R}}^{m + 1}$ and A is a differential one-form in OHgr

Keywords:

Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 35J45 35J60 58E20

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