4 citations · 17 across the 19 of their papers we have counts for
6 papers · 1 filter
On impulsive reaction-diffusion models in higher dimensions
Mostafa Fazly, Mark Lewis, Hao Wang
Assume that denotes the density of the population at a point at the beginning of the reproductive season in the th year. We study the following impulsive reaction-d…
Monotonicity formulas for coupled elliptic gradient systems with applications
Mostafa Fazly, Henrik Shahgholian
Consider the following coupled elliptic system of equations \begin{equation*} \label{} (-Δ)^s u_i = (u^2_1+\cdots+u^2_m)^{\frac{p-1}{2}} u_i \quad \text{in} \ \ \mathbb{R}^n , \end…
One-dimensional symmetry for integral systems in two dimensions
Mostafa Fazly
The purpose of this brief paper is to prove De Giorgi type results for stable solutions of the following nonlocal system of integral equations in two dimensions $$ L(u_i) = H_i(u)…
Entire solutions of quasilinear symmetric systems
Mostafa Fazly
We study the following quasilinear elliptic system for all \begin{equation*} \label{} -div(Φ'(|\nabla u_i|^2) \nabla u_i) = H_i(u) \quad \text{in} \ \ \mathbb{R}^n \…
Stable solutions of symmetric systems on Riemannian manifolds
Mostafa Fazly
We examine stable solutions of the following symmetric system on a complete, connected, smooth Riemannian manifold without boundary, \begin{equation*} -Δ_g u_i = H_i(u…
Solutions of multi-component fractional symmetric systems
Mostafa Fazly
We study the following elliptic system concerning the fractional Laplacian operator when , $u_i…