56 citations · 68 across the 19 of their papers we have counts for
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math.AP2009★ 56 cited
The critical dimension for a 4th order problem with singular nonlinearity
Craig Cowan, Pierpaolo Esposito, Nassif Ghoussoub +1
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.AP2009★ 2 cited
Estimates on Pull-in Distances in MEMS Models and other Nonlinear Eigenvalue Problems
Nassif Ghoussoub, Craig Cowan
Motivated by certain mathematical models for Micro-Electro-Mechanical Systems (MEMS), we give upper and lower estimates for the minimal solutions of nonlinear eigenvalue…