中文

关于涉及分数阶 Laplacian 的强不定系统

偏微分方程分析 2014-05-21 v4

摘要

在本文中,我们研究了有界域上涉及分数阶 Laplacian 的强不定系统。我们获得了存在性和非存在性结果、Gidas-Spruck 型的先验估计以及对称性性质。

关键词

引用

@article{arxiv.1302.6374,
  title  = {On strongly indefinite systems involving the fractional Laplacian},
  author = {Woocheol Choi},
  journal= {arXiv preprint arXiv:1302.6374},
  year   = {2014}
}

备注

23 pages. The previous version had been written for the square root of Laplacian. We revised it with generalizsing the results for $(-Delta)_s$, $0<s<1$ in this version