Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems.

Rotationally symmetric harmonic maps from a ball into a sphere and the regularity problem for weak solutions of elliptic systems.
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DOI:
10.1515/crll.1983.343.146
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发表时间:
1983
期刊:
Journal für die reine und angewandte Mathematik (Crelles Journal)
影响因子:
--
通讯作者:
Helmut Kaul;W. Jäger
Helmut Kaul;W. Jäger
中科院分区:
其他
文献类型:
--
作者:
Helmut Kaul;W. Jäger

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which despite its simplicity involves some of the main difficulties of nonlinear elliptic Systems. The analysis of the existence, uniqueness, regularity and stability of its rotationally Symmetrie Solutions is not only instructive but also contributes to the general theory. For instance, it can be shown that the only known solution with singularities is unstable in dimension «, 3 ̂ «^6, but stable for n^l.