3 citations · 5 across the 3 of their papers we have counts for
3 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★ 1 cited
Regularity of the extremal solution in a MEMS model with advection
Nassif Ghoussoub, Craig Cowan
We consider the regularity of the extremal solution of the nonlinear eigenvalue problem (S)_λ\qquad {rcr} -Δu + c(x) \cdot \nabla u &=& \fracλ{(1-u)^2} \qquad {in }, u &=& 0 \q…
math.AP2008★ 1 cited
Hardy inequalities for general elliptic operators with improvements
Craig Cowan
We obtain optimal generalized versions of Hardy inequalities, which as special cases contain Hardy's inequality and Hardy's inequality involving the distance function to the bounda…