Regularity of p-harmonic maps from the p-dimensional ball into a sphere
Regularity of p-harmonic maps from the p-dimensional ball into a sphere
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从 p 维球到球体的 p 谐波映射的规律性
DOI：
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发表时间：
1994
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通讯作者：
Pawel Strzelecki
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文献类型：
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作者：
Pawel Strzelecki
本文证明了，对于p ≥2，所有弱p-调和映射su =（u1，...，un）从p维球到球的解，即约束椭圆方程组的W_1，p类弱解
$$grid {golden} - div（|
阿布拉乌|^{p - 2}
abla u_i）= u_i|
阿布拉乌|^p hfill \ sum {（u_i）} ^2 = 1，hfill \ end{gathered} $$
是Hölder连续的这个结果是F. Hélein for the casep=2.
AbstractWe prove that, forp≥2, all weaklyp-harmonic mapsu=(u1,...,un) from thep-dimensional ball into a sphere, i.e. weak solutions of classW1,p of the constrained eliptic system
$$egin{gathered} - div(|
abla u|^{p - 2}
abla u_i ) = u_i |
abla u|^p hfill \ sum {(u_i )} ^2 = 1, hfill \ end{gathered} $$
are Hölder continuous. This result is an analogue of an earlier theorem of F. Hélein for the casep=2.