Mostafa Fazly

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20112020

most citedClassification of finite Morse index solutions of higher-order Gelfand-Liouville equation

4 citations · 17 across the 19 of their papers we have counts for

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math.AP2014

Rigidity results for stable solutions of symmetric systems

Mostafa Fazly

We study stable solutions of the following nonlinear system $- Δ u = H (u) in Ω$ where $u : R^{n} \to R^{m}$ , $H : R^{m} \to R^{m}$ and $Ω$ is a…

math.AP2014★ 2 cited

On stable solutions of the fractional Henon-Lane-Emden equation

Mostafa Fazly, Juncheng Wei

We derive monotonicity formulae for solutions of the fractional Hénon-Lane-Emden equation \begin{equation*} (-Δ)^{s} u=|x|^a |u|^{p-1} u \ \ \ \text{in } \ \ \mathbb{R}^n, \end{equ…

math.AP2014

On finite Morse index solutions of higher order fractional Lane-Emden equations

Mostafa Fazly, Juncheng Wei

We classify finite Morse index solutions of the fractional Lane-Emden equation $(- Δ)^{s} u = ∣ u ∣^{p - 1} u R^{n}$ for $1 < s < 2$ . For the local case, $s = 1$ and $s = 2$ this cl…

math.AP2014

Symmetry results for fractional elliptic systems and related problems

Mostafa Fazly, Yannick Sire

We study elliptic gradient systems with fractional laplacian operators on the whole space $(- Δ)^{s} u = \nabla H (u) in R^{n},$ where…