4 citations · 11 across the 7 of their papers we have counts for
12 papers
On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation
Mostafa Fazly, Yeyao Hu, Wen Yang
We consider the nonlocal Hénon-Gelfand-Liouville problem for every , and . We prove a monotonici…
Partial regularity and Liouville theorems for stable solutions of anisotropic elliptic equations
Mostafa Fazly, Yuan Li
We study the quasilinear elliptic equation \begin{equation*} -Qu=e^u \ \ \text{in} \ \ Ω\subset \mathbb{R}^{N} \end{equation*} where the operator , known as Finsler-Laplacian (o…
On stable and finite Morse index solutions of the fractional Toda system
Mostafa Fazly, Wen Yang
We develop a monotonicity formula for solutions of the fractional Toda system when …
Classification of finite Morse index solutions of higher-order Gelfand-Liouville equation
Mostafa Fazly, Juncheng Wei, Wen Yang
We classify finite Morse index solutions of the following Gelfand-Liouville equation \begin{equation*} (-Δ)^{s} u= e^u \ \ \text{in} \ \ \mathbb{R}^n, \end{equation*} for a…
Analysis of propagation for impulsive reaction-diffusion models
Mostafa Fazly, Mark A. Lewis, Hao Wang
We study a hybrid impulsive reaction-advection-diffusion model given by a reaction-advection-diffusion equation composed with a discrete-time map in space dimension …
De Giorgi type results for equations with nonlocal lower-order terms
Mostafa Fazly
It is known that the De Giorgi's conjecture does not hold in two dimensions for semilinear elliptic equations with a nonzero drift, in general, $$ Δu+ q\cdot \nabla u+f(u)=0 \ \ \t…