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。
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