Global regularity of the elastic fields of a power‐law model on Lipschitz domains

In this paper, we study the global regularity of the displacement and stress fields of a nonlinear elastic model of power‐law type. It is assumed that the underlying domains are Lipschitz domains which satisfy an additional geometric condition near those points, where the type of the boundary conditions changes. The proof of the global regularity result relies on a difference quotient technique. Finally, a global regularity result for the stress fields of the elastic, perfect plastic Hencky model is derived. This model appears as a limit model of the power‐law model. Copyright © 2006 John Wiley & Sons, Ltd.     

α-Chlor-nitrone I: Darstellung und Ag+-induzierte Reaktion mit Olefinen. Über synthetische Methoden, 5. (vorläufige) Mitteilung

Organic synthesis may be said to be in need of enophiles, i.e. reagents that would undergo cycloaddition reactions with any isolated olefinic double bond, in contrast to most of the classical Diels-Alder or 1,3-dipolar addition reagents which, as a rule, require activated olefins in order to participate smoothly in cycloaddition processes. This paper introduces α-chloronitrones as precursors of a new class of such reagents; they undergo an Ag⁺-induced reaction with unactivated olefins with great ease to give products considered to result from 1,4-cycloadditions of N-alkyl-N-vinyl-nitrosonium ions to the carbon-carbon double bond (see scheme 2). This process is believed to have a number of synthetic applications, two of them being illustrated in two subsequent communications.