We show that in complete analogy with the usual bremsstrahlung process, when studied from the coaccelerated observer’s point of view, a charge moving along the integral curves of the static Killing field in the exterior of a static black hole gives rise to the emission of zero-energy photons, induced by the thermal bath of Hawking Radiation.

We introduce and analyze an exterior-point method (epm) for constrained optimization problems with both inequality constraints and equations. We show that under the standard second-order optimality conditions the epm converges to the primal-dual solution with 1.5-Q-superlinear rate.

A quadratic programming problem with positive definite Hessian and bound constraints is solved, using a Lagrange multiplier approach. The proposed method falls in the category of exterior point, active set techniques. An iteration of our algorithm modifies both the minimization parameters in the primal space and the Lagrange multipliers in the dual space. Comparative results of numerical experi...

The Voronoi-based 9-intersection model (V9I) is a modified version of the original point-set-based 9-intersection model. The modification is made by replacing the complement (exterior) of an entity with its Voronoi region. It is shown in this paper that it is possible to solve the three major problems associated with the original 9-intersection model with the new V9I model.

We present some results on the existence of bounded positive solutions to a class of nonlinear second order ordinary diferential equations by using the Schauder-Tikhonov fixed point theorem. An application to the existence of bounded positive solutions to certain quasilinear elliptic equations in two-dimensional exterior domains is also given.

In [4] the authors consider the two dimensional Navier-Stokes equations in the exterior of an obstacle shrinking to a point and determine the limit velocity. Here we consider the same problem in the three dimensional case, proving that the limit velocity is a solution of the Navier-Stokes equations in the full space.

We show that in complete analogy with the usual bremsstrahlung process, when studied from the coaccelerated observer's point of view, a charge moving along the integral curves of the static Killing eld in the exterior of a static black hole gives rise to the emission of zero-energy photons, induced by the thermal bath of Hawking Radiation.

We consider the p-Laplacian problem div(a(x)|S7u\p-2Vu) + b(x)\u\p-2u = f(x, u), XGÍ2, h|öq = 0, lim u = 0, |*|-» oo where 1 < p < n , Q (C R") is an exterior domain. Under certain conditions, we show the existence of solutions for this problem via critical point theory.