带有吸引Hardy项的临界椭圆方程组解的渐近同步
Asymptotic synchronization of solutions to critical ellipticsystems involving attractive Hardy–type terms
投稿时间:2020-12-31  修订日期:2020-12-31
DOI:
中文关键词: 临界  椭圆方程组    奇性  Hardy型项
英文关键词: critical  elliptic system  solution  singularity  Hardy–type terms
基金项目:中央高校基本科研业务费专项资金资助项目(CZT20005) , WU Huimin1, CAO Yuping2
作者单位E-mail
康东升 中南民族大学 数学与统计学学院 dongshenkang@scuec.edu.cn 
吴慧敏 中南民族大学 数学与统计学学院  
曹玉平 中南民族大学图书馆  
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中文摘要:
      研究了一个由2个椭圆方程所组成的方程组,它带有p-Laplacian算子、耦合吸引的Hardy项和多个临界非线性项,证明了方程组径向对称单调递减的解在原点和无穷远处的渐近性质. 即使是在p=2时这些结果也是新的. 我们首次发现解中的两个函数在原点和无穷远处是渐近同步的.
英文摘要:
      In this paper, a system of two elliptic equations is studied, which involves the p-Laplacian operator, coupled attractive Hardy terms and multiple critical nonlinearities. The asymptotic properties at the origin and at infinity of radial decreasing solutions are proved and the results are new even in the case of p = 2. It is found for the first time that two components in the solutions are asymptotically synchronized at the origin and at infinity.
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