271 research outputs found
Semilinear elliptic equations for beginners. Existence results via the variational approach
No full textCritical nonlinear elliptic equations with singularities and cylindrical symmetry
No full textMotivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cylindrical symmetry and with singularities on a whole subspace of RN. We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions
Multiplicity results for the supercritical Hénon equation
No full textWe study the Dirichlet problem for the Hénon equation -Δu = |x|αup-1 in the unit ball B ⊂ RN. For N ≥ 4 and a large we prove the existence of positive nonradial solutions for a range of p's including supercritical values
Repolarization abnormalities in the newborn
No full textThe recognition of ventricular repolarization abnormalities
in the newborn carries several and significant implications, because it
calls attention to the possibility of dealing with an infant affected by the
long QT syndrome (LQTS). This article provides key elements for the
correct measurement of the QT interval in newborns and succinctly
reviews some aspects of the disease. It gives normative values on theQT
interval distribution in the firstmonth of life based on a prospective study
in more than 44,000 infants. It shows the probability, based on the QTc
observed in two recordings, to find disease-causing mutations. The data
indicate clearly that widespread electrocardiographic screening in the
newborn allowsearly identification ofmost, ifnot all, the infants affected
by LQTS with marked QT prolongation and thus of those at higher risk
for life-threatening arrhythmias and sudden death. Through the affected
infants, it becomes possible to identify the family members affected by
LQTS, including the ‘‘silent mutation carriers’’; our study shows that
disease-causing mutations are found in 51% of the family members.
Because early recognition leads to the implementation of effective
preventive strategies, it follows that electrocardiographic screening will
avoid preventable deaths either in the first year of life when they are
usually labeled as ‘‘sudden infant death syndrome’’ or later in life. The
case is made for medicolegal implicationswhenever neonatologists and
pediatricians fail to inform the parents of a newborn child of the prevalence
of LQTS (one in 2000), of the effectiveness of existing therapies,
and of the diagnosis with a simple electrocardiogram
Brain M-App’s Structure and Usability: A New Application for Cognitive Rehabilitation at Home
No full textCognitive frailty is defined as a clinical condition characterized by both physical frailty and cognitive impairment, without reaching the criteria for dementia. The major goal of rehabilitation intervention is to assist patients in performing ordinary personal duties without the assistance of another person, or at the very least to remove the need for additional support, using adaptive approaches and facilities. In this regard, home-based rehabilitation allows patients to continue an intervention begun in a hospital setting while also ensuring support and assistance when access to healthcare systems is limited, such as during the present pandemic situation. We thus present Brain m-App, a tablet-based application designed for home-based cognitive rehabilitation of frail subjects, addressing spatial memory, attention, and executive functions. This app exploits the potential of 360° videos which are well-suited to home-based rehabilitation. The Brain m-app is made up of 10 days of activities that include a variety of exercises. The activities were chosen based on those patients used to do during their clinical practice in the hospital with the aim to improve their independence and autonomy in daily tasks. The preliminary usability test, which was conducted on five older people, revealed a sufficient level of usability, however, the sample size was modest. Results from the clinical study with 10 patients, revealed that Brain m-App improved especially executive functions and memory performances
- …
