| 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,2013,34(1):87~100 |
| 半线性椭圆方程正解的等周不等式 |
| Isoperimetric Inequalities for Positive Solution to Semilinear Elliptic Equations |
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| DOI: |
| 中文关键词: 等周不等式,Schwartz对称, 正解, 半线性椭圆方程 |
| 英文关键词:Isoperimetric inequality,Schwartz symmetrization, Positive solution,Semilinear elliptic equation |
| 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) |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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