W. Chen, L. D'Ambrosio and Y. Li: Some Liouville theorems for the fractional Laplacian. To appear in Nonlin. Anal. http://arxiv.org/abs/1407.5559.Wenxiong Chen, Lorenzo D'Ambrosio, and Yan Li, Some Liouville theorems for the fractional Lapla- cian, Nonlinear Anal. 121 (2015), 370-...
In this paper, we develop a direct {\\em blowing-up and rescaling} argument for a nonlinear equation involving the fractional Laplacian operator. Instead of using the conventional extension method introduced by Caffarelli and Silvestre, we work directly on the nonlocal operator. Using the integral...
Wenxiong Chen, Lorenzo D'Ambrosio, and Yan Li, Some Liouville theorems for the fractional Laplacian, Non- linear Anal. 121 (2015), 370-381, DOI 10.1016/j.na.2014.11.003. MR3348929W. Chen, L. Di-Ambrosio, Y. Li, Some Liouville theorems for the fractional Laplacian, Nonlinea...
Wenxiong Chen, Lorenzo D'Ambrosio, and Yan Li, Some Liouville theorems for the fractional Laplacian, Non- linear Anal. 121 (2015), 370-381, DOI 10.1016/j.na.2014.11.003. MR3348929W. Chen, L. Di-Ambrosio, Y. Li, Some Liouville theorems for the fractional Laplacian, Nonlinear Anal. 121...
Wenxiong ChenCongming LiSchool of Mathematical Sciences Nankai UniversityAdvances in MathematicsW. Chen and C. Li, "Maximum principles for the fractional p-Laplacian and symmetry of solutions," Analysis of PDEs, 19 pages, 2017, https://arxiv.org/abs/1705.04891....
Chen, WenxiongLi, CongmingLi, YanAdvances in MathematicsW. Chen, C. Li, Y. Li. A direct method of moving planes for the fractional Laplacian. Preprint arXiv:1411.1697.W. X. Chen, C. C. Li and Y. Li, A direct method of moving planes for the fractional Laplacian, preprint, arXiv:...
Wenxiong ChenCongming LiYan LiAcademic PressW. Chen, C. Li, and Y. Li, A direct method of moving planes for fractional Laplacian, Advances in Math. 308 (2017) 404-437.A direct method of moving planes for the fractional Laplacian. Chen,W,Li,C,Li,Y. Advances in Mathematics . 2017...
doi:10.1142/9789813224001_0009Wenxiong ChenYeshiva University, USAYan LiYeshiva University, USAPei MaNanjing Forestry University, ChinaThe Fractional Laplacian
The Fractional LaplacianWenxiong ChenYeshiva University, USAYan LiYeshiva University, USAPei MaNanjing Forestry University, China
Wenxiong Chen a bCongming Li c dAdvances in MathematicsW. Chen, C. Li, Maximum principles for the fractional p-Laplacian and symmetry of solutions, arXiv:1705.04891.W. Chen and C. Li, "Maximum principles for the fractional p-Laplacian and symmetry of solutions," Analysis of PDEs, 19 ...