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5 papers · 1 filter
Liouville theorems for fractional parabolic equations
Wenxiong Chen, Leyun Wu
In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouv…
Asymptotic method of moving planes for fractional parabolic equations
Wenxiong Chen, Pengyan Wang, Yahui Niu +1
In this paper, we develop a systematical approach in applying an asymptotic method of moving planes to investigate qualitative properties of positive solutions for fractional parab…
Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains
Zhao Liu, Wenxiong Chen
In this paper, we consider the following non-linear equations in unbounded domains with exterior Dirichlet condition: \begin{equation*}\begin{cases} (-Δ)_p^s u(x)=f(u(x)), & x\…
Maximum principles for the fractional p-Laplacian and symmetry of solutions
Wenxiong Chen, Congming Li
In this paper, we consider nonlinear equations involving the fractional p-Laplacian $$ (-\lap)_p^s u(x)) \equiv C_{n,s,p} PV \int_{\mathbb{R}^n} \frac{|u(x)-u(y)|^{p-2}[u(x)-u(y)]}…
Indefinite fractional elliptic problem and Liouville theorems
Wenxiong Chen, Jiuyi Zhu
In this paper, we consider the indefinite fractional elliptic problem. A corresponding Liouville-type theorem for the indefinite fractional elliptic equations is established. Furth…