In this paper we study the limit as p → ∞ of minimizers of the fractional W -norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this con...

In engineering practice, damping control is a usual method for stabilization. In this paper we consider nonlinear affine systems. We show that if there exists a feedback law which provides sufficiently fast convergence of trajectories (rational stabilization) then the system can also be stabilized by damping control. Our construction relies on a Liapunov function, which is basically defined as ...

The authors examined the relationship between physical activity, exercise, and sedentary behaviors in 493 college students who were enrolled in 10 conditioning activity classes and had completed questionnaires at the beginning of the course. They analyzed sedentary activities and indicators of participation in exercise and physical activity by demographic variables. Surveyed men reported greate...

Snoring in college students may be the earliest presentation of adult sleep-disordered breathing, yet the literature contains few studies that demonstrate its effects on learning or whether early diagnosis leads to interruption of disease progression or prevention of comorbidities. Objective and Participants: The authors conducted this study in January–April 2004 to assess the prevalence of sno...

Objective: The authors examined whether alcoholrelated negative consequences decreased among students exposed to an intervention. Participants: Beginning in 1999, approximately 2,500 randomly selected undergraduates from a 4-year US university annually participated in a Web-based survey over 6 years. Methods: The educational intervention used social norms initiatives. Main outcome measures incl...