9 citations · 23 across the 11 of their papers we have counts for
11 papers
On the Partial Differential Equations of Electrostatic MEMS Devices: Stationary Case
Nassif Ghoussoub, Yujin Guo
We analyze the nonlinear elliptic problem on a bounded domain of with Dirichlet boundary conditions. This equation models a simple electrostat…
Selfdual Variational Principles for Periodic Solutions of Hamiltonian and Other Dynamical Systems
Nassif Ghoussoub, Abbas Moameni
Selfdual variational principles are introduced in order to construct solutions for Hamiltonian and other dynamical systems which satisfy a variety of linear and nonlinear boundary…
On the existence of Hamiltonian paths connecting Lagrangian submanifolds
Nassif Ghoussoub, Abbas Moameni
We use a new variational method --based on the theory of anti-selfdual Lagrangians developed in [2] and [3]-- to establish the existence of solutions of convex Hamiltonian systems…
Elliptic Equations with Critical Growth and a Large Set of Boundary Singularities
Nassif Ghoussoub, Frederic Robert
We solve variationally certain equations of stellar dynamics of the form in a domain of $\rn$,…
Iterations of anti-selfdual Lagrangians and applications to Hamiltonian systems and multiparameter gradient flows
Nassif Ghoussoub, Leo Tzou
Anti-selfdual Lagrangians on a state space lift to path space provided one adds a suitable selfdual boundary Lagrangian. This process can be iterated by considering the path space…
Anti-selfdual Hamiltonians: Variational resolutions for Navier-Stokes and other nonlinear evolutions
Nassif Ghoussoub
The theory of anti-selfdual (ASD) Lagrangians developed in \cite{G2} allows a variational resolution for equations of the form where is a convex lowe…