赣南师范学院学报
贛南師範學院學報
공남사범학원학보
JOURNAL OF GANNAN TEACHERS COLLEGE
2011年
6期
30-33
,共4页
加权P—Laplace算子%基本解%Hardy不等式%Hardy—Sobolev型不等式
加權P—Laplace算子%基本解%Hardy不等式%Hardy—Sobolev型不等式
가권P—Laplace산자%기본해%Hardy불등식%Hardy—Sobolev형불등식
Weighted p-laplacian%fundamental solution%hardy inequality%Hardy-Sobolev type inequality
从另一个角度研究欧氏空间R^n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R^n中的已有结论．
從另一箇角度研究歐氏空間R^n上的Hardy-Sobolev不等式．通過攷察一類加權p—Laplace算子基本解，得到Hardy型不等式．利用積分關繫法建立Hardy—Sobolev型不等式．所得結果豐富和拓展瞭R^n中的已有結論．
종령일개각도연구구씨공간R^n상적Hardy-Sobolev불등식．통과고찰일류가권p—Laplace산자기본해，득도Hardy형불등식．이용적분관계법건립Hardy—Sobolev형불등식．소득결과봉부화탁전료R^n중적이유결론．
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.
