‎using nehari manifold methods and mountain pass theorem‎, ‎the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.

A new spinorial strategy for the construction of geometric inequalities involving Arnowitt-Deser-Misner mass black hole systems in general relativity is presented. This approach based on a second order elliptic equation (the approximate twistor equation) valence 1 Weyl spinor. has advantage over other approaches to Sen-Witten-Dirac that it allows us specify boundary conditions two components gr...

In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which has small trace. Both methods use the identity which expresses multiplication-by-m maps by polynomials of Frobenius maps. Both are applicable for a large family of elliptic curves and more efficient than any other metho...

We present a new method designed to avoid numerical challenges that have impeded calculation of the Lorenz gauge self-force acting on compact object inspiraling into Kerr black hole. This type is valuable in creating waveform templates for extreme mass-ratio inspirals, which are an important source gravitational waves upcoming Laser Interferometer Space Antenna mission. Prior hyperbolic partial...

The rapidly expanding nature of the Internet Things (IoT) networks is beginning to attract interest across a range applications, including smart homes, transportation, health, and industrial contexts such as robotics. This cutting-edge technology enables individuals track control their integrated environment in real-time remotely via thousands IoT devices comprised sensors actuators that active...

Selection Algorithm and Generation Algorithm of elliptic curves have been the focus of research and hotspot of the Elliptic Curve Cryptosystem. This paper discusses a random elliptic curve realization method of Embedded Mobile Equipment, the SEA algorithm and its improved algorithm from Elliptic Curve's selection, Elliptic Curve's structure and Elliptic Curve's generation. Ensuring that the emb...