83 citations · 135 across the 21 of their papers we have counts for
4 papers · 1 filter
Estimates for the quenching time of a parabolic equation modeling electrostatic MEMS
Nassif Ghoussoub, Yujin Guo
The singular parabolic problem on a bounded domain of with Dirichlet boundary conditions, models the dynamic deflection of an elastic memb…
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,, so that the following inequalities hold for al…
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…
On the best possible remaining term in the Hardy Inequality
Nassif Ghoussoub, Amir Moradifam
We give a necessary and sufficient condition on a radially symmetric potential on that makes it an admissible candidate for an improved Hardy inequality of the following fo…