Amir Moradifam

most citedOn the critical dimension of a fourth order elliptic problem with negative exponent

2 citations · 2 across the 2 of their papers we have counts for

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math.AP2009★ 2 cited

On the critical dimension of a fourth order elliptic problem with negative exponent

Amir Moradifam

We study the regularity of the extremal solution of the semilinear biharmonic equation $β Δ^{2} u - τ Δ u = \frac{λ}{( 1 - u ) ^{2}}$ on a ball $B \subset R^{N}$ , under Navier boundary conditions $u=…

math.AP2009

The singular extremal solutions of the bilaplacian with exponential nonlinearity

Amir Moradifam

Consider the problem {ll} Δ^2 u= λe^{u} &\text{in} B u=\frac{\partial u}{\partial n}=0 &\text{on}\partial B, where $B$ is the unit ball in $R^{N}$ and $λ$ is a parameter. Unlike the…

math.AP2007★ 83 cited

On the best possible remaining term in the Hardy Inequality

Nassif Ghoussoub, Amir Moradifam

We give a necessary and sufficient condition on a radially symmetric potential $V$ on $Ω$ that makes it an admissible candidate for an improved Hardy inequality of the following fo…