Radial symmetry for systems of fractional Laplacian |
| |
| Authors: | Congming LI Zhigang WU |
| |
| Institution: | 1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China;2. Department of Applied Mathematics, University of Colorado Boulder, USA;3. Department of Applied Mathematics, Donghua University, Shanghai 201620, China |
| |
| Abstract: | In this paper, we consider systems of fractional Laplacian equations in Rnwith nonlinear terms satisfying some quite general structural conditions. These systems were categorized critical and subcritical cases. We show that there is no positive solution in the subcritical cases, and we classify all positive solutions ui in the critical cases by using a direct method of moving planes introduced in Chen-Li-Li 11] and some new maximum principles in Li-Wu-Xu 27]. |
| |
| Keywords: | system of fractional Laplacian method of moving planes maximum principles with singular point Kelvin transform 35B50 35R11 35A01 |
| 本文献已被 CNKI ScienceDirect 等数据库收录！ |
|
