| REGULARITIES AND SINGULARITIES OF THE ENERGY MINIMIZERS OF THE HEISENBERG GROUP TARGETS |
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| 引用本文： | 贾高. REGULARITIES AND SINGULARITIES OF THE ENERGY MINIMIZERS OF THE HEISENBERG GROUP TARGETS[J]. 数学物理学报(B辑英文版), 2003, 23(4): 447-452. DOI: 10.1016/S0252-9602(17)30487-3 |
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| 作者姓名： | 贾高 |
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| 作者单位： | School of |
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| 基金项目： | National Natural Science Foundation of China (19771048) |
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| 摘 要： | In this paper, the properties of the maps for the Heisenberg group targets are studied. For u∈W1,α(Ω, Hm), some Poincare type inequalities are proved. For the energy minimizers, the ∈-regularity theorems and the singularity theorems are obtained.
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| 收稿时间： | 2001-05-29 |
REGULARITIES AND SINGULARITIES OF THE ENERGY MINIMIZERS OF THE HEISENBERG GROUP TARGETS |
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| Jia Gao School of Science,Nanjing University of Science and Technology,Nanjing ,China. REGULARITIES AND SINGULARITIES OF THE ENERGY MINIMIZERS OF THE HEISENBERG GROUP TARGETS[J]. Acta Mathematica Scientia, 2003, 23(4): 447-452. DOI: 10.1016/S0252-9602(17)30487-3 |
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| Authors: | Jia Gao School of Science Nanjing University of Science Technology Nanjing China |
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| Affiliation: | Jia Gao School of Science,Nanjing University of Science and Technology,Nanjing 210094,China Department of Mathematics,Bengbu Tank Institute,Bengbu 233013,China |
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| Abstract: | In this paper, the properties of the maps for the Heisenberg group targets arestudied. For u ∈ W1,α (Ω, Hm), some Poincare type inequalities are proved. For the energyminimizers, the ε-regularity theorems and the singularity theorems are obtained. |
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| Keywords: | Heisenberg group energy minimizer Legendrian map regularity singularity |
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