We prove a global Lorentz estimate of the Hessian of strong solutions to a class of asymptotically regular fully nonlinear elliptic equations over a C1,1 smooth bounded domain. Here, the approach of the main proof is based on the Possion’s transform from an asymptotically regular elliptic equation to the regular one.

A Regge–Wheeler analysis is performed for a novel black hole mimicker ‘the regular with asymptotically Minkowski core’, followed by an approximation of the permitted quasi-normal modes propagating waveforms. first-order WKB computed spin zero and one perturbations candidate spacetime. Subsequently, numerical results analysing respective fundamental are compiled various values parameter (which q...

In this paper we study properties that the vacuum must possess in minimal extension to teleparallel equivalent of general relativity (TEGR) where action is supplemented with a quadratic torsion term. No assumption made about weakness term although weak-field regime validity our previously derived perturbative solution confirmed. Regarding exact nature vacuum, it found if center symmetry be regu...

In this talk, we point out that curvature-regular asymptotically flat solitons with negative mass are contained in the Myers-Perry family in five dimensions. These solitons do not have horizon, but instead a conical NUT singularity of quasi-regular nature surrounded by naked CTCs. We show that this quasi-regular singularity can be made regular for a set of discrete values of angular momentum by...

The main goal of this paper is to investigate the periodic character, invariant intervals, oscillation and global stability and other new results of all positive solutions of the equation$$x_{n+1}=frac{alpha+beta x_{n}}{A + Bx_{n}+ Cx_{n-k}},~~ n=0,1,2,ldots,$$where the parameters $alpha$, $beta$, $A$, $B$ and $C$ are positive, and the initial conditions $x_{-k},x_{-k+1},ldots,x_{-1},x_{0}$ are...