9 citations · 12 across the 2 of their papers we have counts for
2 papers
math.AP2008★ 3 cited
The critical dimension for a fourth order elliptic problem with singular nonlinearity
Craig Cowan, Pierpaolo Esposito, Nassif Ghoussoub
We study the regularity of the extremal solution of the semilinear biharmonic equation $\bi u=\fλ{(1-u)^2}$, which models a simple Micro-Electromechanical System (MEMS) device on a…
math.AP2007★ 9 cited
Bessel potentials and optimal Hardy and Hardy-Rellich inequalities
Nassif Ghoussoub, Amir Moradifam
We give necessary and sufficient conditions on a pair of positive radial functions V and W on a ball B of radius R in R^n,, so that the following inequalities hold for al…