Almost-homeomorphisms and aumosttopological properties

A function is said to be an almosthomeomorphism if it is a bijective almost continuous function (see [25]) with an almost continuous inverse. We characterize such functions in several ways and obtain the relationship between almost-homeomorphisms and semi-homeomorphisms (see [8]). We study those properties which are preserved under this class of functions -the almost  topological properties - and characterize them as the semi-regular properties (see [3]). We also introduce the concept of an almost topological class and study the relationship between this clases and the topological, semi-topological, and p-topological classes

Infinitely many solutions for a nonlinear Navier problem involving the p-biharmonic operator

In this paper we establish some results of existence of infinitely many solutions for an elliptic equation involving the p-biharmonic and the p-Laplacian operators coupled with Navier boundary conditions where the nonlinearities depend on two real parameters and do not satisfy any symmetric condition. The nature of the approach is variational and the main tool is an abstract result of Ricceri. The novelty in the application of this abstract tool is the use of a class of test functions which makes the assumptions on the data easier to verify

H-closed functions

summary:The notion of a Hausdorff function is generalized to the concept of H-closed function and the concept of an H-closed extension of a Hausdorff function is developed. Each Hausdorff function is shown to have an H-closed extension

A Liouville-type theorem for the homogeneous wave equation

In this paper, we characterize those bounded from below solutions of a homogeneous wave equation on R^2 which are constant

Laryngopharyngeal reflux diagnosis in obstructive sleep apnea patients using the pepsin salivary test

Background: To investigate the presence of laryngopharyngeal reflux in patients with obstructive sleep apnea (OSA) employing the salivary pepsin concentration method. To compare the results of pepsin concentration with the severity of the pathology. Methods: Seventy-five OSA patients (44 males, 31 females) were enrolled in the study. For each patient, the AHI (apnea–hypopnea index) and the BMI (body mass index) were initially evaluated. All the patients enrolled were assessed using the reflux symptom index (RSI) and the reflux finding score (RFS) in order to perform a clinical diagnosis of laryngopharyngeal reflux. In all patients a salivary sample was taken to estimate the presence of pepsin and its concentration. Results: The incidence of LPR (laryngopharyngeal reflux) in OSA patients, evaluated using the salivary pepsin concentration test (PEP-test), was found to be 32% of cases. Linear regression testing did not show any correlation between AHI and pepsin concentration in salivary samples (p = 0.1). Conclusion: A high number of patients with OSA seem to show positivity for salivary pepsin, correlated to an LPR. There does not appear to be a correlation between the severity of apnea and the grade of salivary pepsin reflux. On the other hand, direct correlation between BMI and the value of pepsin in salivary specimens was observed

Cleavability and divisibility over developable spaces

summary:Some results on cleavability theory are presented. We also show some new [16]'s results

Vector integral equations with discontinuous right-hand side

summary:We deal with the integral equation $u(t)=f(\int_Ig(t,z)\,u(z)\,dz)$, with $t\in I=[0,1]$, $f:\bold R^n\to\bold R^n$ and $g:I\times I\to[0,+\infty[$. We prove an existence theorem for solutions $u\in L^\infty(I,\bold R^n)$ where the function $f$ is not assumed to be continuous, extending a result previously obtained for the case $n=1$