49 citations · 177 across the 26 of their papers we have counts for
27 papers
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…
Gibbons' conjecture for entire solutions of master equations
Wenxiong Chen, Lingwei Ma
In this paper, we establish a generalized version of Gibbons' conjecture in the context of the master equation \begin{equation*} (\partial_t-Δ)^s u(x,t)=f(t,u(x,t)) \,\, \mbox{in}\…
Qualitative properties of solutions for dual fractional nonlinear parabolic equations
Wenxiong Chen, Lingwei Ma
In this paper, we consider the dual fractional parabolic problem in the right half space. We prove that the positive solutions are strictly increasing in direction without as…
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…
Hopf's lemmas for parabolic fractional Laplacians and parabolic fractional -Laplacians
Pengyan Wang, Wenxiong Chen
In this paper, we first establish Hopf's lemmas for parabolic fractional equations and parabolic fractional -equations. Then we derive an asymptotic Hopf's lemma for antisymmetr…