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一类退化p次椭圆算子的基本解及Hardy不等式 被引量:1

The Fundamental Solution and Hardy Inequality for a class of decenerated p-sub-elliptic operator
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摘要 首先建立了由广义Baoendi-Grushin向量场构成的退化p-次椭圆算子在p=Q时的基本解,然后通过构造合适的辅助函数,结合Kombe的方法,证明了p=Q时的Hardy不等式. In this paper, the fundamental solution in the case of p=Q related to the degenerated p-sub-elliptic operator constructed by the generalized Baoendi-Grushin vector fields is established. Then the Hardy inequality for p = Q is proved by improving Kombe's method and choosing a proper auxiliary function.
出处 《西南民族大学学报(自然科学版)》 CAS 2007年第5期1001-1005,共5页 Journal of Southwest Minzu University(Natural Science Edition)
基金 陕西省自然科学基础研究计划资助项目(批准号2006A09).
关键词 广义Baoendi-Grushin向量场 退化P-次椭圆算子 基本解 HARDY不等式 generalized Baoendi-Grushin vector field degenerated p-sub-elliptic operator fundamental solution Hardyinequality
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参考文献5

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二级参考文献3

  • 1Hardy, G.H., Littlewood, J.E. and Polya, G. Inequalities,[M]. Cambrideg Univ. Press, 2nded. 1952.
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  • 3Garofalo, N.,Unique Continuation for a class of elliptic operators which degenerate on a manifold of arbitrary codimension[J]. J.Diff. Equ. 1993,(104): 117-146.

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