This paper proposes a variational principle for the solutions of quantum field theories in which the “trial functions” are chosen from the algebra of asymptotic fields, and illustrates this variational principle in simple cases.

The pre-image topological pressure is defined for bundle random dynamical systems. A variational principle for it has also been given.

We characterize hyperbolic metrics on compact triangulated surfaces with boundary using a variational principle. As a consequence, a new parameterization of the Teichmüller space of compact surface with boundary is produced. In the new parameterization, the Teichmüller space becomes an open convex polytope. It is conjectured that the Weil-Petersson symplectic form can be expressed explicitly in...

In this paper, using Ricceri’s variational principle, we prove the existence of infinitely many weak solutions for a Dirichlet doubly eigenvalue boundary value problem.

We consider a model problem of minimization of an integral functional over Lipschitz curves. In order to ensure existence of minimum for some perturbed function, a novel variational principle is adapted.

In this note we give a Brøndsted-Rockafellar Theorem for diagonal subdifferential operators in Banach spaces. To this end we apply an Ekeland-type variational principle for monotone bifunctions.

We describe a dissipation principle/variational principle which may be useful in modeling motion in small viscous systems and provide brief illustrations to brownian motor or molecular rachet situations which are found in intracellular transport.

We define an entropy function for scaling limits of permutations, called permutons, and prove that under appropriate circumstances, both the shape and number of large permutations with given constraints are determined by maximizing entropy over permutons with those constraints. We also describe a useful equivalent version of permutons using a recursive construction. This variational principle i...

This paper builds on the initial work of Marsden and Scheurle on nonabelian Routh reduction. The main objective of the present paper is to carry out the reduction of variational principles in further detail. In particular, we obtain reduced variational principles which are the symplectic analogue of the well known reduced variational principles for the Euler{Poincar e equations and the Lagrange...