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    • 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
      
    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)
    Author NameAffiliationE-mail
    HU Huaxiang Department of Education and Science, Hunan First Normal College, Changsha 410205, China. hunanhhx@163.com 
    DAI Qiuyi Corresponding author. Department of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China. daiqiuyi@yahoo.com.cn 
    HE Renchu Department of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China. sdrenchu@126.com 
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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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