Mostafa Fazly

activity

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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Showing 2012Show all

2 papers · 1 filter

math.AP2012

Regularity of the extremal solutions associated to elliptic systems

Craig Cowan, Mostafa Fazly

We examine the two elliptic systems given by [(G)_{λ,γ} \quad -Δu = λf'(u) g(v), \quad -Δv = γf(u) g'(v) \quad in $Ω$ ,] and [(H)_{λ,γ} \quad -Δu = λf(u) g'(v), \quad -Δv = γf'(u)…

math.AP2012★ 1 cited

De Giorgi type results for elliptic systems

Mostafa Fazly, Nassif Ghoussoub

We consider the following elliptic system Δu =\nabla H (u) \ \ \text{in}\ \ \mathbf{R}^N, where $u : R^{N} \to R^{m}$ and $H \in C^{2} (R^{m})$ , and prove, under vari…