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 ChenYanqin FangRay YangElsevier Inc.Advances in MathematicsW. Chen, Y. Fang, R. Yang, Liouville theorems involving the fractional Laplacian on a half space, Adv. in Math. 274 (2014) 167-198.W. Chen, Y. Fang and R. Yang, Liouville theorems involving the fractional Laplacian on ...
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...
The fractional p-LaplacianNarrow region principleSliding methodsMonotonicity of solutionsIn this paper, we develop a sliding method for the fractional p-Laplacian. We first obtain the key ingredient needed in the sliding method in a bounded domain–the narrow region principle. Then using nonlinear ...
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 ...
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:...
This paper is concerned with nonlocal fractional p-Laplacian Schrödinger–Hardy-type equations involving concave–convex nonlinearities. The first aim is to demonstrate the L∞-bound for any possible weak solution to our problem. As far as we know, th