most citedThe critical dimension for a fourth order elliptic problem with singular nonlinearity

3 citations · 3 across the 2 of their papers we have counts for

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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.AP2008

Uniqueness of solutions for an elliptic equation modeling MEMS

Nassif Ghoussoub, Pierpaolo Esposito

We study the effect of the parameter , the dimension , the profile and the geometry of the domain , on the question of uniqueness of the solutions t…