Let Δ = ABC be a reference triangle and Δ′ = A′B′C′ an inscribed triangle of Δ. We define the cevian projection of Δ′ as the cevian triangle ΔP of a certain point P . Given a point P not on a sideline, all inscribed triangles with common cevian projection ΔP form a family DP = {Δ(t) = AtBtCt, t ∈ R}. The parallels of the lines AAt, BBt, CCt through any point of a certain circumconic CP intersec...

In the present study, numerical study of Al2O3-water nanofluid flow in different coiled wire inserted tubes are performed to investigate the effects of inserting coiled wires in tubes on the fluid dynamic and heat transfer performance ofv nanofluids. The numerical simulations of nanofluids are performed using two phase mixture model. The flow regime and the wall boundary conditions are assumed ...

and Applied Analysis 3 we refer to 20–22 , but the results on the boundary blow-up solutions for p x -Laplacian equations are rare see 16 . In 16 , the present author discussed the existence and asymptotic behavior of boundary blow-up solutions for the following p x -Laplacian equations: −Δp x u f x, u 0, in Ω, u x −→ ∞, as d x, ∂Ω −→ 0, 1.8 on the condition that f x, · satisfies polynomial gro...

Let Ω 0 be an-open bounded domain in R N ≥ 3 and p∗ pN/ N − p . We consider the following quasilinear elliptic system of two equations inW 0 Ω ×W 1,p 0 Ω : −Δpu λf x |u|q−2u α/ α β h x |u|α−2u|v|β,−Δpv μg x |v|q−2v β/ α β h x |u|α|v|β−2v, where λ, μ > 0, Δp denotes the p-Laplacian operator, 1 ≤ q < p < N,α, β > 1 satisfy p < α β ≤ p∗, and f, g, h are continuous functions on Ω which are somewher...

The influence of the ovarian cycle on muscle sympathetic nerve activity (MSNA) remains controversial. Some studies report an increase of resting MSNA during the mid luteal (ML) phase of the ovarian cycle compared with the early follicular phase, whereas other studies do not. These inconsistent findings may be attributable, in part, to the variable surges in estradiol and progesterone. We tested...