Abstract The purpose of this paper is twofold: first we study an eigenvalue problem for the fractional p -sub-Laplacian over Folland–Stein–Sobolev spaces on stratified Lie groups. We apply variational methods to investigate problems. conclude positivity eigenfunction via strong minimum principle -sub-Laplacian. Moreover, deduce that simple and isolated. Secondly, utilising established propertie...

In this paper, we extend Sasaki metric for tangent bundle of a Riemannian manifold and Sasaki-Mok metric for the frame bundle of a Riemannian manifold [I] to the case of a semi-Riemannian vector bundle over a semi- Riemannian manifold. In fact, if E is a semi-Riemannian vector bundle over a semi-Riemannian manifold M, then by using an arbitrary (linear) connection on E, we can make E, as a...

the objective of this work was to develop a new design of an intake manifold through a 1d simulation. it is quite familiar that a duly designed intake manifold is essential for the optimal performance of an internal combustion engine. air flow inside the intake manifold is one of the important factors, which governs the engine performance and emissions. hence the flow phenomenon inside the inta...

the present article serves the purpose of pursuing geometrization of heat flow on volumetrically isothermal manifold by means of rf approach. in this article, we have analyzed the evolution of heat equation in a 3-dimensional smooth isothermal manifold bearing characteristics of riemannian manifold and fundamental properties of thermodynamic systems. by making use of the notions of various curva...

A solution of the discrete H ∞ smoothing problem is presented that lends itself well for generalization to sampled-data problems. The solution is complete and requires two sign-definite spectral factoriza-tions and one Nehari extension problem. A state-space equivalent is derived that is believed to be minimal. w e y v u H G v G y S-(a) w e y v u K G v G y-(b) FIG. 1.1. (a) Hold design. (b) Dis...