28 citations · 39 across the 8 of their papers we have counts for
9 papers
Monotonicity for the fractional semi-linear problem in a half space
Wenxiong Chen, Yahong Guo, Leyun Wu
In this paper, we study semilinear fractional equations in a half-space and prove that all positive solutions are strictly increasing in the -directi…
Refined regularity for nonlocal elliptic equations and applications
Wenxiong Chen, Congming Li, Leyun Wu +1
In this paper, we establish refined regularity estimates for nonnegative solutions to the fractional Poisson equation Specifically, we hav…
Global solvability and stability of an alarm-taxis system
Hai-Yang Jin, Zhi-An Wang, Leyun Wu
This paper is concerned with the global boundedness and stability of classical solutions to an alarm-taxis system describing the burglar alarm hypothesis as an important mechanism…
Uniform a priori estimates for -th order Lane-Emden system in with
Wei Dai, Leyun Wu
In this paper, we establish uniform a priori estimates for positive solutions to the (higher) critical order superlinear Lane-Emden system in bounded domains with Navier boundary c…
Nonexistence of solutions for indefinite fractional parabolic equations
Wenxiong Chen, Leyun Wu, Pengyan Wang
We study fractional parabolic equations with indefinite nonlinearities $$ \frac{\partial u} {\partial t}(x,t) +(-Δ)^s u(x,t)= x_1 u^p(x, t),\,\, (x, t) \in \mathbb{R}^n \times \mat…
Liouville theorems for fractional parabolic equations
Wenxiong Chen, Leyun Wu
In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouv…
A maximum principle on unbounded domains and a Liouville theorem for fractional p-harmonic functions
Wenxiong Chen, Leyun Wu
In this paper, we establish the following Liouville theorem for fractional \emph{p}-harmonic functions. {\em Assume that is a bounded solution of $$(-\lap)^s_p u(x) = 0, \;\; x…
Monotonicity of solutions for fractional equations with De Giorgi type nonlinearities
Leyun Wu, Wenxiong Chen
In this paper, we develop a sliding method for the fractional Laplacian. We first obtain the key ingredients needed in the sliding method either in a bounded domain or in the whole…
On the boundary Hölder regularity for the infinity Laplace equation
Leyun Wu, Yuanyuan Lian, Kai Zhang
In this note, we prove the boundary Hölder regularity for the infinity Laplace equation under a proper geometric condition. This geometric condition is quite general, and the exter…