| Some Results on Subelliptic Equations |
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| 作者姓名： | Li MA De Zhong CHEN Yang YANG |
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| 作者单位： | Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China |
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| 基金项目： | This work is supported in part by the Key 973 Project of ChinaAcknowledgements Part of this work was done while the first named author was working in NUS in Singapore in the year 2001. The first named author would also like to thank Prof. Hua Chen for inviting him to give lectures about sub-elliptic problems in Wuhan University. |
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| 摘 要： | In this paper, we consider the principal on R^n, and we find a comparison principle for such semi-linear sub-elliptic equation in the whole R^n and infinitely many positive solutions of the problem. eigenvalue problem for Hormander＇s Laplacian principal eigenvalues. We also study a related prove that, under a suitable condition, we have
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| 关 键 词： | 主要本征值 Hormander拉普拉斯算子 正解 比拟原理 |
| 收稿时间： | 2004-09-13 |
| 修稿时间： | 2004-09-132005-09-27 |
Some Results on Subelliptic Equations |
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| Li MA De Zhong CHEN Yang YANG.Some Results on Subelliptic Equations[J].Acta Mathematica Sinica,2006,22(6):1695-1704. |
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| Authors: | Li Ma De Zhong Chen Yang Yang |
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| Institution: | (1) Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China |
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| Abstract: | In this paper, we consider the principal eigenvalue problem for Hormander’s Laplacian
on R
n
, and we find a comparison principle for such principal eigenvalues. We also study a related
semi-linear sub-elliptic equation in the whole R
n
and prove that, under a suitable condition, we have
infinitely many positive solutions of the problem.
This work is supported in part by the Key 973 Project of China |
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| Keywords: | principal eigenvalue Hormander’ s Laplacian positive solution |
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