| 半线性椭圆方程正解的等周不等式 |
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| 引用本文： | 胡华香,戴求亿,贺仁初. 半线性椭圆方程正解的等周不等式[J]. 数学年刊A辑(中文版), 2013, 34(1): 87-100 |
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| 作者姓名： | 胡华香 戴求亿 贺仁初 |
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| 作者单位： | 湖南第一师范学院教育科学系;湖南师范大学数学与计算机科学学院 |
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| 基金项目： | 国家自然科学基金(No.10971061);湖南省教育厅科学研究项目(No.11C302)的资助 |
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| 摘 要： | 证明了一类半线性椭圆方程正解满足等周不等式,并得到了此解的最佳上界估计.
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| 关 键 词： | 等周不等式 Schwartz对称 正解 半线性椭圆方程 |
Isoperimetric Inequalities for Positive Solution to Semilinear Elliptic Equations |
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| HU Huaxiang,DAI Qiuyi and HE Renchu. Isoperimetric Inequalities for Positive Solution to Semilinear Elliptic Equations[J]. Chinese Annals of Mathematics, 2013, 34(1): 87-100 |
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| Authors: | HU Huaxiang DAI Qiuyi HE Renchu |
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| Affiliation: | 1 Department of Education and Science,Hunan First Normal College,Changsha 410205,China. 2 Corresponding author.Department of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China. 3 Department of Mathematics and Computer Science,Hunan Normal University, Changsha 410081,China. |
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| Abstract: | The authors prove some isoperimetric inequalities for positive solutions to a class of semilinear elliptic equations and give a sharp upper bound for the solution. |
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| Keywords: | Isoperimetric inequality Schwartz symmetrization Positive solution Semilinear elliptic equation |
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