Showing papers in "Analysis in 1988"
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TL;DR: The minimal surfaces spanning a polygon can be embedded into a family of quasi-minimal surfaces, which are harmonic but not necessari ly conformally parametrized and can express the total number of branch points by the i r boundary-angles and a certain curvature integra l. AMS-Classification: 49F10, 53A10.
Abstract: The minimal surfaces spanning a polygon can be embedded into a family of quasi-minimal surfaces, which are harmonic but not necessari ly conformally parametrized and sa t i s f y certain generalized boundary condit ions. For these surfaces we can express the total number of branch points by the i r boundary-angles and a certain curvature integra l . AMS-Class i f icat ion: 49F10, 53A10. 1. The main resu l t As in the introduction of [3] l e t B: = {w = u + iv e C||w| < 1} be the unit disc and Γ<=Κ^ (ρ ä 2) a polygon with the consecutive vert ices
TL;DR: In this article, the authors proved analogous theorems for entire harmonic functions u of exponential type, where u and certain partial or directional derivatives vanish at the integers of two parallel lines or of two lines making an angle that is not a rational multiple of π.
Abstract: Abstract: In [3] we proved some uniqueness theorems for entire analytic functions f of exponential type which state that f must vanish identically or be a certain special function if f and certain derivatives of f vanish at the integers and the type of f is not too big. In this paper we prove analogous theorems for entire harmonic functions u of exponential type, where u and certain partial or directional derivatives vanish at the integers of two parallel lines or of two lines making an angle that is not a rational multiple of π. Our theorems generalize a result of Boas in [2],
TL;DR: In the differential clinic of love, the authors showed that jouissance command induces differentiated subjective effects, and if its characteristics on the man's and woman's sides have repercussions, especially at the level of differential clinic.
Abstract: Does jouissance command? Yes, certainly, if, as I am going to show, it induces differentiated subjective effects, and if its characteristics on the man's and woman's sides have repercussions, especially at the level of the differential clinic of love.