| 一类加权p-Laplace算子基本解和Hardy-Sobolev型不等式 |
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| 引用本文： | 廖冬妮,喻泽峰.一类加权p-Laplace算子基本解和Hardy-Sobolev型不等式[J].赣南师范学院学报,2011,32(6):30-33. |
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| 作者姓名： | 廖冬妮 喻泽峰 |
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| 作者单位： | 赣南师范学院数学与计算机科学学院,江西赣州,341000 |
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| 基金项目： | 基金项目:江西省自然科学基金资助项目，江西省科技计划项目 |
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| 摘 要： | 从另一个角度研究欧氏空间Rn上的Hardy-Sobolev不等式.通过考察一类加权p-Laplace算子基本解,得到Hardy型不等式.利用积分关系法建立Hardy-Sobolev型不等式.所得结果丰富和拓展了Rn中的已有结论.
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| 关 键 词： | 加权p-Laplace算子 基本解 Hardy不等式 Hardy-Sobolev型不等式 |
Fundamental Solutions of a Weighted p-Laplacian and Hardy-Sobolev Type Inequalities |
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| LIAO Dongni,YU Zefeng.Fundamental Solutions of a Weighted p-Laplacian and Hardy-Sobolev Type Inequalities[J].Journal of Gannan Teachers' College(Social Science(2)),2011,32(6):30-33. |
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| Authors: | LIAO Dongni YU Zefeng |
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| Institution: | (School of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China) |
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| Abstract: | This paper is concerned with Hardy-Sobolev type inequalities in the Euclidean space Rn by another way. Based on the fundamental solution of a weighted p-sub-Laplacian, a sharp weighted Hardy inequality is given, and then a Hardy-Sobolev type inequality is established by the method of integral relations. The results enrich and cover known conclusions in R^n. |
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| Keywords: | Weighted p-laplacian fundamental solution hardy inequality Hardy-Sobolev type inequality |
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