Harmonic homeomorphisms of the closed disc to itself need be in w1,p, p < 2, but not w1,2

Harmonic homeomorphisms of the closed disc to itself need be in w1,p, p < 2, but not w1,2
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闭盘与其自身的调和同胚必须在 w1,p 中,p < 2,但不在 w1,2 中

DOI:
10.1090/s0002-9939-06-08506-6
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发表时间:
2006
期刊:
Annales Academiae Scientiarum Fennicae Mathematica
影响因子:
--
通讯作者:
G. Verchota
G. Verchota
中科院分区:
--
文献类型:
--
作者:
G. Verchota

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从闭圆盘到平面上有界凸集的调和映射u服从u ∈ W1,p,p < 2.
Harmonic maps u from the closed disc onto bounded convex sets of the plane obey u ∈ W 1,p,p < 2.