Purpose: Scoliosis is one of the most common spinal deformities that affect chest wall mechanics. Scoliosis results in ventilator disorders and respiratory muscle weakness. However, the mechanism of these disorders is still unknown. The main objective of this study was to identify the intensity of respiratory muscles activity in patients with idiopathic scoliosis compare with healthy indi...

In this paper, we study the combined effect of concave and convex nonlinearities on the number of solutions for an indefinite semilinear elliptic system ðEk;lÞ involving critical exponents and sign-changing weight functions. Using Nehari manifold, the system is proved to have at least two nontrivial nonnegative solutions when the pair of the parameters ðk;lÞ belongs to a certain subset of R. 20...

Submarine canyons incise continental shelves and slopes, are important conduits for the transport of sediment, nutrients, organic carbon pollutants from continents to oceans. bear morphological similarities subaerial valleys, such as their longitudinal (long) profiles. Long profiles record interaction between erosion uplift, making shape, or concavity, a environmental tectonic processes. The pr...

We consider a free interpolation problem in Nevanlinna and Smirnov classes and find a characterization of the corresponding interpolating sequences in terms of the existence of harmonic majorants of certain functions. We also consider the related problem of characterizing positive functions in the disc having a harmonic majorant. An answer is given in terms of a dual relation which involves pos...

In this paper a 2-dimensional mapping is investigated in the complex field C for the existence of analytic invariant curves. Employing the method of majorant series, we need to discuss the eigenvalue α of the mapping at a fixed point. Besides the hyperbolic case |α| = 1, we focus on those α on the unit circle S1, i.e., |α| = 1. We discuss not only those α at resonance, i.e., at a root of the un...

We study ground state solutions for linear and nonlinear elliptic PDEs in $\mathbb{R}^n$ with (pseudo-)differential operators of arbitrary order. prove a general symmetry result the case as well uniqueness states case. In particular, we can deal problems (e.g., higher order PDEs) that cannot be tackled by usual methods such maximum principles, moving planes, or Polya--Szegö inequalities. Instea...

The linear Beltrami equation on the Riemann sphere is studied under assumption that its measurable complex-valued coefficient μ(z) has a compact support in ℂ and ‖μ‖∞ = 1 Sufficient conditions for existence of regular homeomorphic $$ {W}_{\mathrm{loc}}^{1,1} solutions to with hydrodynamic normalization at infinity are given, particular, provided either dilatation Kμ boundedmean- oscillation maj...

in the past, rock slope stability analysis were performed either graphically or using a hand-held calculator, but nowadays there are variety of slope stability analysis which can be used according to the field condition and potential failure mode. in 2-d analysis, effect of convex and concave walls are neglected, however concave slopes are believed to be more stable than straight walls due to t...

In this paper we prove the following results concerning the product f1f2 of two concave functions f1and f2 defined in a non empty, compact, convex set K of R. The first result states that necessary and sufficient condition for the product f1f2 of two linear affine functions to be concave is that they are Gonzi. Finally the main result says that a necessary and sufficient condition for the produ...

We prove new entropy inequalities for log concave and s-concave functions that strengthen and generalize recently established reverse log Sobolev and Poincaré inequalities for such functions. This leads naturally to the concept of f -divergence and, in particular, relative entropy for s-concave and log concave functions. We establish their basic properties, among them the affine invariant valua...