Eigenfunctions for singular fully non linear equations in unbounded domains

In this paper we prove some Harnack inequality for fully non linear degenerate elliptic equations, in the two dimensional case, extending the results of Davila Felmer and Quaas in the singular case but in all dimensions. We then apply this result for the existence of an eigenfunction in smooth bounded domain.Comment: 30 pages 2 figure

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Cardiac biomechanics in patient-specific multi-scale models of single ventricle circulation

Patient-specific models of single ventricle circulation represent a powerful tool to investigate ventricular functionality. In this study, we adopt a multi-scale approach that couples a 0D circulatory model of the patient circulation to a 3D structural model of the ventricle. To investigate this particular condition a group of patients affected by hypoplastic heart syndrome have been considered

Ulcerative colitis associated with leukocytoclastic vasculitis of the skin

Ulcerative colitis may be associated with a number of skin lesions such as erythema nodosum and pyoderma gangrenosum. We here describe an unusual case of a 33-year-old-caucasian male with ulcerative colitis and skin lesions diagnosed as leukocytoclastic vasculitis. An initial treatment with oral deflazacort led to little benefit, while treatment with oral mesalazine caused remission of the skin and intestinal manifestations in 2 weeks. © 2008 Editrice Gastroenterologica Italiana S.r.l

Family history, body mass index, selected dietary factors, menstrual history, and risk of moderate to severe acne in adolescents and young adults.

BACKGROUND: Genetic and environmental components may contribute to acne causation. OBJECTIVE: We sought to assess the impact of family history, personal habits, dietary factors, and menstrual history on a new diagnosis of moderate to severe acne. METHODS: We conducted a case-control study in dermatologic outpatient clinics in Italy. Cases (205) were consecutive those receiving a new diagnosis of moderate to severe acne. Control subjects (358) were people with no or mild acne, coming for a dermatologic consultation other than for acne. RESULTS: Moderate to severe acne was strongly associated with a family history of acne in first-degree relatives (odds ratio 3.41, 95% confidence interval 2.31-5.05). The risk was reduced in people with lower body mass index with a more pronounced effect in male compared with female individuals. No association with smoking emerged. The risk increased with increased milk consumption (odds ratio 1.78, 95% confidence interval 1.22-2.59) in those consuming more than 3 portions per week. The association was more marked for skim than for whole milk. Consumption of fish was associated with a protective effect (odds ratio 0.68, 95% confidence interval 0.47-0.99). No association emerged between menstrual variables and acne risk. LIMITATIONS: Some degree of overmatching may arise from choosing dermatologic control subjects and from inclusion of mild acne in the control group. CONCLUSIONS: Family history, body mass index, and diet may influence the risk of moderate to severe acne. The influence of environmental and dietetic factors in acne should be further explore