| ON THE EQUIVARIANT HARMONIC MAPS BETWEEN SURFACES IN R~3 |
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| 引用本文： | YANG Xuefeng (Department of Mathematics,Hangzhou Institute of Commerce,Hangzhou 310035,China). ON THE EQUIVARIANT HARMONIC MAPS BETWEEN SURFACES IN R~3[J]. 系统科学与复杂性, 1992, 0(3) |
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| 作者姓名： | YANG Xuefeng (Department of Mathematics Hangzhou Institute of Commerce Hangzhou 310035 China) |
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| 作者单位： | Department of Mathematics，Hangzhou Institute of Commerce，Hangzhou 310035，China |
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| 基金项目： | This research is partly supported by the National Natural Science Foundation of China |
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| 摘 要： | In this paper,we study the existence and regularity of G-equivariantharmonic maps between surfaces with a finite group G(?)O(3)action.We discoverthat the energy level of compactness in the G-equivariant perturbed problems ishigher than that in general case.This implies the multiplicity of harmonic mapsfor some examples.
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ON THE EQUIVARIANT HARMONIC MAPS BETWEEN SURFACES IN R~3 |
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| YANG Xuefeng. ON THE EQUIVARIANT HARMONIC MAPS BETWEEN SURFACES IN R~3[J]. Journal of Systems Science and Complexity, 1992, 0(3) |
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| Authors: | YANG Xuefeng |
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| Abstract: | In this paper,we study the existence and regularity of G-equivariantharmonic maps between surfaces with a finite group G(?)O(3)action.We discoverthat the energy level of compactness in the G-equivariant perturbed problems ishigher than that in general case.This implies the multiplicity of harmonic mapsfor some examples. |
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| Keywords: | Harmonic maps the critical point theory group action the degree theory |
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