| Heisenberg群上四阶非线性次椭圆方程的可解性 |
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| 引用本文： | 张吉慧. Heisenberg群上四阶非线性次椭圆方程的可解性[J]. 高校应用数学学报(英文版), 2003, 18(1): 45-52. DOI: 10.1007/s11766-003-0082-6 |
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| 作者姓名： | 张吉慧 |
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| 作者单位： | Zhang JihuiSchool of Math.& Computer Science，Nanjing Normal Univ.，Nanjing 210097，China. Tianshui Teachers College，Tianshui 741000，China. |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (199710 68)andtheNSFofEducationCommitteeofJiangsuProvince . |
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| 摘 要： | § 1 ＩｎｔｒｏｄｕｃｔｉｏｎＷｅｃｏｎｓｉｄｅｒｔｈｅｆｏｕｒｔｈｏｒｄｅｒｓｅｍｉｌｉｎｅａｒｓｕｂｅｌｌｉｐｔｉｃｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍΔ2 Ｈｕ +ｃΔＨｕ =ｆ( (ｚ ,ｔ) ,ｕ) ｉｎＤ ,ｕ｜Ｄ =ΔＨｕ｜Ｄ =0 ,( 1 .1 )ｗｈｅｒｅＤｉｓａｂｏｕｎｄｅｄｏｐｅｎｓｕｂｓｅｔｏｆｔｈｅＨｅｉｓｅｎｂｅｒｇｇｒｏｕｐＨｎａｎｄΔＨｉｓｔｈｅｓｕｂｅｌｌｉｐｔｉｃＬａｐｌａ ｃｉａｎｏｎＨｎ.ＷｅｒｅｃａｌｌｔｈａｔＨｎｉｓｔｈｅＬｉｅｇｒｏｕｐｗｈｏｓｅｕｎｄｅｒｌｙｉｎｇｍａｎｉ…
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| 收稿时间： | 2002-01-04 |
Solvability of the fourth order nonlinear subelliptic equations on the Heisenberg group |
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| Zhang Jihui. Solvability of the fourth order nonlinear subelliptic equations on the Heisenberg group[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(1): 45-52. DOI: 10.1007/s11766-003-0082-6 |
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| Authors: | Zhang Jihui |
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| Affiliation: | (1) School of Math. & Computer Science, Najing Normal Univ., 210097 Nanjing, China;(2) Tianshui Teachers College, 741000 Tianshui, China |
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| Abstract: | In this paper,some existence results for the fourth order nonlinear subelliptic equations on the Heisenberg group are given by means of variational methods. |
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| Keywords: | Heisenberg group nonlinear problem subelliptic equation variational method existence vector. |
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