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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…
math.AP2005
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…
math.AP2005★ 9 cited
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…