N. Ghoussoub

activity

20032008

most citedBessel potentials and optimal Hardy and Hardy-Rellich inequalities

9 citations · 40 across the 18 of their papers we have counts for

collaborators

Showing 2007 · math.APShow all

3 papers · 2 filters

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.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, $n \geq 1$ , so that the following inequalities hold for al…

math.AP2007★ 1 cited

Schrodinger equations and Hamiltonian systems of PDEs with selfdual boundary conditions

Nassif Ghoussoub, Abbas Moameni

Selfdual variational calculus is further refined and used to address questions of existence of local and global solutions for various parabolic semi-linear equations, Hamiltonian s…