In this article, we study the following problem $$\Delta(w(x)\Delta u) = \ f(x,u) \quad\mbox{ in }\quad B, \quad u=\frac{\partial u}{\partial n}=0 on } \quad\partial B,$$ where $B$ is unit ball of $\mathbb{R}^{4}$ and $ w(x)$ a singular weight logarithm type. The reaction source $f(x,u)$ radial function with respect to $x$ it critical view exponential inequality Adams' existence result proved b...

In this paper‎, ‎we consider the following Kirchhoff-type equations‎: ‎$-‎left(a+bint_{mathbb{R}^{3}}|nabla u|^{2}right)Delta u+V(x) u=lambda$ $f(x,u)+u^{5}‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$u(x)>0‎, ‎quad mbox{in }mathbb{R}^{3},$ ‎$uin H^{1}(mathbb{R}^{3})‎ ,‎$ ‎ ‎‎‎where $a,b>0$ are constants and $lambda$ is a positive parameter‎. ‎The aim of this paper is to study the existence of positive ...

The proliferation of contextualized knowledge in the Semantic Web (SW) has led to the popularity of knowledge formats such as quads in the SW community. A quad is an extension of an RDF triple with contextual information of the triple. In this paper, we study the problem of query answering over quads augmented with forall-existential bridge rules that enable interoperability of reasoning betwee...

Objectives: The aim of this field study was to explore the relationship between body mass and quad bike induced whole-body vibration (WBV) exposure in a group of New Zealand rural workers. Methods: WBV exposure was recorded using a seat pad mounted tri-axial accelerometer while rural workers (n=34) were driving a quad bike for approximately half an hour on a pre-marked track on farm terrain. Pe...

A Cray XT5 system has recently been installed at Oak Ridge National Laboratory (ORNL). This system differs from the existing XT4 system at ORNL in its compute node architecture, utilizing two quad-core Opteron Barcelona processors instead of a single quad-core Opteron Budapest processor. It also differs in its sheer scale, having approximately 150,000 processor cores, almost 5 times as many as

The quad-curl problem arises in the study of the electromagnetic interior transmission problem and magnetohydrodynamics (MHD). In this paper, we study the quad-curl eigenvalue problem and propose a mixed method using edge elements. Assuming stringent regularity of the solution of the quadcurl source problem, we prove the convergence and show that the divergencefree condition can be bypassed.

The QUaD project will measure the cosmic microwave background’s polarization anisotropy from the South Pole beginning in early 2005. This thesis discusses the optical characterization of a single pixel in both the 100 GHz and 150 GHz spectral bands using the QUaD test bed. It describes the methods and results for measuring the pixel’s spectral response, polarization response, spatial response, ...