Abstract Generalising classical result of Müller and Šverák (J. Differ. Geom. 42(2), 229-258, 1995), we obtain a pointwise estimate the conformal factor sequences immersions from unit disk complex plane uniformly bounded total curvature converging strongly outside concentration point towards branched for which quantization energy holds. We show that multiplicity associated to parameter becomes ...

Abstract In this paper, we prove that any mean curvature flow translator $$\Sigma ^2 \subset {\mathbb {R}}^3$$ ? 2 ? R 3 with finite total and one end must be a plane. We also if the $$ has multip...

An approximation theorem for minimal surfaces by complete minimal surfaces of finite total curvature in R is obtained. This result can be extended to the family of complete minimal surfaces of weak finite total curvature, that is to say, having finite total curvature on proper regions of finite conformal type. We deal only with the orientable case. As a consequence, complete minimal surfaces in...

We prove a phenomenon of concentration of total curvature for stable minimal surfaces in the product space H × R, where H is the hyperbolic plane. Under some geometric conditions on the asymptotic boundary of an oriented stable minimal surface immersed in H × R, it has infinite total curvature. In particular, we infer that a minimal graph M in H × R whose asymptotic boundary is a graph over an ...

Early atherosclerosis is characterized by the accumulation of plasma-borne macromolecules (eg, low-density lipoproteins) in the arterial intima, which is bordered by endothelial cells (EC) and the internal elastic lamina (IEL). This accumulation is believed to be secondary to increased EC permeability. We hypothesized that a decrease in IEL permeability may precede lesion development and contri...