In this paper we study surfaces immersed in R such that the mean curvature function H satisfies the equation (1=H) = 0, where is the Laplace operator of the induced metric. We call them HIMC surfaces. All HIMC surfaces of revolution are classified in terms of the third Painlevé transcendent. In the general class of HIMC surfaces we distinguish a subclass of -isothermic surfaces, which is a gene...

We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.

The amplitude distribution in a SAR image can present a heavy tail. Indeed, very high–valued outliers can be observed. In this paper, we propose the usage of the Harmonic, Geometric and Arithmetic temporal means for amplitude statistical studies along time. In general, the arithmetic mean is used to compute the mean amplitude of time series. In this study, we will show that comparing the behavi...

In this paper we describe harmonic evolutes of surfaces in Minkowski 3-space. In particular, we study properties of harmonic evolutes of constant mean curvature surfaces and their relation to parallel surfaces. Furthermore, we study harmonic evolutes of surfaces of revolution. AMS subject classifications: 53A35, 53B30

We consider the overdetermined boundary value problem for the 4-harmonic operator, Δ4 = Δ(Δ3) , and show that if the solution of the problem exists, then the domain must be an open N -ball (N 2) . As a consequence of overdetermined problems mean value results are obtained for harmonic, biharmonic, triharmonic and 4-harmonic functions. Mathematics subject classification (2010): 35J25, 35P15, 35B50.

We conducted a prospective, double-blind clinical trial to evaluate the differences in operating time, intraoperative blood loss, postoperative pain at 3 hours and 1 week, and delayed (>24 hr) bleeding associated with ultrasonic harmonic scalpel tonsillectomy and conventional tonsillectomy. The study was carried out on 28 patients with recurrent tonsillitis and/or adenotonsillar hypertrophy who...

We prove among others results that the harmonic mean of ?q(x) and ?q(1/x) is greater than or equal to 1 for arbitrary x > 0, q ? J where a subset [0,+?). Also, we there unique real number p0 (1, 9/2), such (0, p0), ?q(1) minimum q(1/x) 0 (p0,+?), maximum. Our generalize some known inequalities due Alzer Gautschi.