In this paper we obtain comparison results for the quasilinear equation $-\Delta_{p,x} u - u_{yy} = f$ with homogeneous Dirichlet boundary conditions by Steiner rearrangement in variable $x$, thus solving a long open problem. fact, study broader class of anisotropic problems. Our approach is based on finite-differences discretization $y$, and proof principle discrete version auxiliary problem $...

Abstract We investigate the integrability of Euler–Lagrange equations associated with 2D second-order Lagrangians form $$\begin{aligned} \int f(u_{xx},u_{xy},u_{yy})\ \mathrm{d}x\mathrm{d}y. \end{aligned}$$ ? f ( u <...

We present a Greens function approach to calculate the Dzyaloshinskii-Moriya interactions (DMI) from first principles electronic structure calculations, that is computationally more efficient and accurate than most-commonly employed supercell generalized Bloch-based approaches. The method applied (111) Co/Pt bilayer where Co- and/or Pt-thickness dependence of DMI coefficients are calculated. Ov...

The gut-derived hormone peptide YY (PYY) is most commonly known for its effect on satiety, decreasing food intake and body weight in animals and humans. However, PYY is also involved in a wide range of digestive functions including regulating insulin secretion and glucose homeostasis. Over the last few years, there have been several interesting clinical and animal studies investigating the role...

By single crystal C1-NQR Zeeman spectroscopy, the five independent C1 nuclear quadrupole coupling tensors in a-parachloral, (Cl3CCHO)3, have been studied at 24 ± 2 °C. The directions of the electric field gradient (EFG) tensor components have been determined. The principal axes are within ± 0.8° parallel to the C-Cl bond directions found by X-ray diffraction. Very small asymmetry parameters in ...