Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition

In this paper we establish existence, nonexistence and regularity of positive solutions for a class of singular quasilinear elliptic systems subject to (super-) homogeneous condition. The approach is based on sub-supersolution methods for systems of quasilinear singular equations combined with perturbation arguments involving singular terms

Commutators and rough kernels without zero homogeneous condition

In this paper, we consider the commutator [Formula: see text] where [Formula: see text] and [Formula: see text] is defined by the convolution type Calderón–Zygmund operators satisfying the weak boundedness condition and Hörmander condition, we prove its continuity by using wavelets, decomposition of compensated quantity by wavelets and commutators on orthogonal project operator.

Cumulative semantic interference in young children's picture naming

ABSTRACTIn children and adults, naming an item sometimes interferes with later attempts to name other items. Adult speakers experience cumulative semantic interference, interpreted as the result of incremental learning. Studies to date have not examined whether incremental learning can also account for interference in children. This study examined context effects on picture naming in 3-year-old children, and investigated whether children, like adults, show interference that is semantically based and cumulative. Children named pictures from semantically homogeneous and mixed sets. Response latency, accuracy, and repetition errors were recorded. The results demonstrated a progressive slowing of responses in the semantically homogeneous condition that was greater than that observed for the mixed condition. There were no significant effects for accuracy. Repetition errors, although infrequent, patterned similarly to previous reports for adults. The results indicate that preschool-aged children experience cumulative semantic interference in naming, and suggest that incremental learning may account for interference effects across development.

Assessment of landslide risk using gis and statistical methods in kysuce region

The landslide susceptibility was assessed based on multivariation analysis. The input parameters were represented by lithology, land use, slope inclination and average annual precipitation. These parameters were evaluated as independent variables, and the existing landslides as dependent variables. The individual input parameters were reclassified and spatially adjusted. Spatial analysis resulted in 15 988 combinations of input parameters representing the homogeneous condition unit (HCU ). Based on the landslide density within individual units, the HCU polygons have been classified according to landslide risk into stable, conditionally stable, conditionally stable and unstable (subdivided into low, medium and high landslide risk). A total of 2002 HCU s were affected by landslides, and the remaining 13 986 were not affected. The total HCU area affected by landslides is about 156.92 km

Benign paroxysmal vertigo of childhood: Long-term outcome

Introduction Benign paroxysmal vertigo (BPV) is characterized by recurrent attacks of dizziness in a healthy child. Complete recovery typically takes place during childhood, and an epidemiological link with migraine has been pointed out. Nevertheless, data concerning long-term patient outcome are scarce. Subjects and methods We analyzed the clinical data of 17 patients diagnosed with BPV between 1991 and 2008 in our neuropediatric department; we particularly focused on family medical history and long-term patient outcome by reviewing their medical files and by interviewing the families with a standardized questionnaire administered by phone. Results Thirteen families responded to the questionnaire, performed 1.1 to 24.5 years after onset. Among 10 patients older than 11 years of age, five continue to suffer attacks of vertigo. Median age at recovery was six years. Nine subjects exhibited migraine, including all six aged 15 years or older. There was a first-degree history of migraine in eight out of 13 children. Conclusion BPV may not be a homogeneous condition, as some children have a poorer prognosis than others. The strong link with migraine, already noticed by previous authors, led us to discuss the pathophysiology of this condition.