Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation −∆u = p(x)[g(u) + f(u) + |∇u| ] in RN (N ≥ 3), where 0 < q < 1, p is a positive weight such that R∞ 0 rφ(r)dr < ∞, where φ(r) = max|x|=r p(x), r ≥ 0. Under the hypotheses that both g and f are sublinear, which include no monotonicity on the functions g(u), f(u), g(u)/u and f(u)/u, we show the exi...

A formal implementation of the Fowler-Nodheim equation to emission characteristics of diamond coated cold cathodes gives values of the work function which depend on surface curvature of the coating, thus making it incorrect. Experiments with diamond coated Si tips having different coating radii have shown, that their emissivity depends on the radius of the Si tip rather than on the radius of th...

Abstract The dynamic field emission of a carbon nanotube at mechanical resonance has been studied by in situ transmission electron microscopy. The coupling between the field emission (FE) of a nanotube under a dc voltage applied longitudinally and its mechanical resonance stimulated transversely by an ac field shows that the frequency of the FE oscillating current is twice that of the mechanica...

We discuss the asymptotic behavior of solutions to a higher-order Emden–Fowler type equation with constant potential. Several author’s results are presented concerning both positive and oscillatory solutions to equations with regular and singular nonlinearities. We discuss the existence and asymptotic behavior of “blowup” solutions. Results on the asymptotic behavior of oscillating solutions ar...

Four silica samples were evaluated as supports in the hydroformylation of oct-1-ene by Supported Aqueous Phase Catalysis (SAPC) using [Rh2(μ-SBu)2(CO)2(TPPTS)2] and [Rh(COD)Cl]2/TPPTS as catalysts. Adsorption studies of the [Rh(COD)Cl]2/TPPTS complex from aqueous solutions on the supports were carried out at 25 °C. The isotherms obtained were correlated by several models, among which the Fowler...

Employing Riccati techniques and the integral averaging method, we establish interval oscillation criteria for the second-order Emden-Fowler neutral delay differential equation [|x′(t)|γ−1x′(t)]′ + q1(t)|y(t− σ)|α−1y(t− σ) + q2(t)|y(t− σ)|β−1y(t− σ) = 0, where t ≥ t0 and x(t) = y(t) + p(t)y(t − τ). The criteria obtained here are different from most known criteria in the sense that they are base...

Stable field-induced electron emission is derived from a tungsten tip covered by indium which has been solidified from its liquid state during an ion emission process. By choosing different ion emission currents at the beginning of the solidification process, the final geometry of the solidified emitter can be reshaped and the characteristics of the electron emission changed. The Fowler– Nordhe...

Steven Eschrich Department of Computer Science and Engineering University of South Florida 4202 East Fowler Avenue, Tampa, FL 33620 [email protected] Nitesh V. Chawla Department of Computer Science and Engineering University of South Florida 4202 East Fowler Avenue, Tampa, FL 33620 [email protected] Lawrence O. Hall Department of Computer Science and Engineering University of South Florid...

Universal voltage-current characteristics are presented for a planar diode, showing the general transition from the Fowler-Nordheim relation to the Child-Langmuir law. These curves are normalized to the intrinsic scales that are constructed from the Fowler-Nordheim coefficients A, B. They provide an immediate assessment of the importance of the space charge effects, once the gap voltage, gap sp...