Yujin Guo

most citedEstimates for the quenching time of a parabolic equation modeling electrostatic MEMS

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

collaborators

3 papers

math.AP2007★ 2 cited

Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS

Nassif Ghoussoub, Yujin Guo

The singular parabolic problem $u_{t} = Δ u - \frac{λ f ( x )}{( 1 + u ) ^{2}}$ on a bounded domain $Ω$ of $R^{N}$ with Dirichlet boundary conditions, models the dynamic deflection of an elastic memb…

math.AP2005★ 1 cited

Compactness along the Branch of Semi-stable and Unstable Solutions for an Elliptic Problem with a Singular Nonlinearity

Pierpaolo Esposito, Nassif Ghoussoub, Yujin Guo

We study the branch of semi-stable and unstable solutions (i.e., those whose Morse index is at most one) of the Dirichlet boundary value problem $- Δ u = \frac{λ f ( x )}{( 1 - u ) ^{2}}$ on a bo…

math.AP2005

On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case

Nassif Ghoussoub, Yujin Guo

We analyze the nonlinear elliptic problem $Δ u = \frac{λ f ( x )}{( 1 + u ) ^{2}}$ on a bounded domain $Ω$ of $R^{N}$ with Dirichlet boundary conditions. This equation models a simple electrostat…