It is known that the Dirichlet bilaplace boundary value problem, which is used as a model for a clamped plate, is not sign preserving on general domains. It is also known that the corresponding first eigenfunction may change sign. In this note we will show that even a constant right hand side may result in a sign-changing solution.

placenta plays a vital role in normal fetal development and failure of placenta to gain weight and insufficiency of its function can result in fetal disorders. we performed this study to determine placental weight and factors associated with low weight placentas. in a longitudinal cross-sectional study, women with single pregnancy, and gestational age between 37-42 weeks were studied. the subje...

where θ = n̄Γ(k)Γ(k+1/μ) and H(·) is the Fox generalized hypergeometric function or H-function. For μ = 1 the NBD is recovered. For μ > 1 Pn is not infinitely divisible and the factorial cumulants of the distribution exhibit nontrivial sign-changing oscillations. Eqs. (2)-(3) involve as special and limiting cases the Poisson transform of numerous classical probability densities such as the Chi, ...

In this work, we make an exhaustive study of the properties of the Green’s function related to the periodic boundary value problem Lax ≡ x′′ + a(t) x = 0, x(0) = x(T ), x′(0) = x′(T ), with a sign-changing potential a(t). Moreover, we obtain new explicit criteria that ensures that the maximum or anti-maximum principle holds for this equation. The given criteria complement previous results in th...

The photo-production of nucleon resonances is calculated based on a chiral constituent quark model including both relativistic corrections Hrel and twobody exchange currents, and it is shown that these effects play an important role. We also calculate the first moment of the nucleon spin structure function g1 ( x,Q ) in the resonance region, and obtain a sign-changing point around Q ∼ 0.27 GeV ...

In this paper, we study the existence of triple positive solutions for second-order four-point boundary value problem with sign changing nonlinearities. We first study the associated Green’s function and obtain some useful properties. Our main tool is the fixed point theorem due to Avery and Peterson. The results of this paper are new and extent previously known results. 2000 Mathematics Subjec...

In this paper, we study the sign-changing Kazdan-Warner’s problem on two dimensional closed Riemannian manifold with negative Euler number $\chi (M)<0$. We show that once direct method convex sets is used to find a minimizer of corresponding functional, then there another solution via use variational mountain pass. conclusion, are at least solutions Kazdan-Warner equation provided prescribed ...

2 Software details 4 2.1 Installation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 File overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Calling sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3.1 The initial point . . . . . . . . . . ....