Using only the axioms, we establish existence and (perhaps more surprisingly) uniqueness of stationary monetary equilibrium.
In fact, we establish existence of the Lyapunov exponent, λ= limt→∞1tlogu t,x).
We establish existence and uniqueness results, and demonstrate the performance of the scheme in the cavity-of-revolution case.
In today's class, students will be examining whether or not such animals are real, and examining the basis upon which scientists establish existence or rule it out.
We establish existence and a formula for the associated zeta-determinant in terms of the Wronski-determinant of a fundamental system of solutions adapted to the boundary conditions.
Through an Euler Hopf-type formula, wEuler Hopf-typestence result to a Nirenberg-type problem involving the square root oformulaaplacian in sphere S2.
For fairly expressive classes of the agents' valuation functions, we establish existence of socially optimal pure Nash equilibria, as well as strong equilibria, that are resilient to coordinated deviations of subsets of agents.
The main results are then applied to optimal design, primarily the stress-constrained minimum weight problem, to illustrate how they can be used to establish existence of solutions and validity of "ε-perturbations" that are common in computational topology optimization.
In case (ii), we develop a method used by G. Crippa and C. De Lellis for ODE and implemented by X. Zhang for SDE, to establish existence and uniqueness of stochastic flow of maps.
By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.
We use the critical point theory for convex, lower semicontinuous perturbations of C1-functionals to establish existence of multiple radial solutions for some one parameter Neumann problems involving the operator v↦div(∇v√1−|∇v|2).
