Boundedness of the extremal solutions in dimension 4

In this paper we establish the boundedness of the extremal solution u^* in dimension N=4 of the semilinear elliptic equation $-\Delta u=\lambda f(u)$, in a general smooth bounded domain Omega of R^N, with Dirichlet data $u|_{\partial \Omega}=0$, where f is a C^1 positive, nondecreasing and convex function in [0,\infty) such that $f(s)/s\rightarrow\infty$ as $s\rightarrow\infty$. In addition, we prove that, for N>=5, the extremal solution $u^*\in W^{2,\frac{N}{N-2}}$. This gives $u^\ast\in L^\frac{N}{N-4}$, if N>=5 and $u^*\in H_0^1$, if N=6.Comment: 9 page

The Influence of Technology on Family Dynamics

A powerful tool, that contemporary society uses not only to entertain but also to communicate and educate, there is an ever-present availability to media access. However, there is an ongoing debate over whether or not the power of this influence and its ubiquitous availability yields positive or negative consequences in different aspects of our lives. One area of concern, in particular, is the dynamics of the American family. With the rapid progression of technological advances it is difficult to observe the influence that these devices are having on the ways in which a family interacts. There is research to support both sides of the argument that media is hindering our family relations or conversely, that it is fostering it. I analyze how this constant immersion in the “media bubble” affects the foundation of a family. To examine the possible influence of media on family relationships, I looked at the effects of computers, the Internet, mobile media, and television on the way a family interacts. It was apparent that media does affect the way a family unit socializes and, as a result, their relationships. Ultimately, the results demonstrated that media, without a doubt, cannot be tucked into a precise group of positive or negative since different media devices serve diverse purposes within family life as well as within individual families

International Capital Flows, Technology Spillovers and Local Credit Markets.

No abstract availableInvestments, Foreign; Investments, Foreign -- Mathematical models; Capital investments;

“New Critical Approaches to the History of the Early English Novel”

The critical appraisal of the rise of the novel in English has changed drastically from the publication of Ian Watt’s homonymous study in 1957. Some thirty years later, one of Watt’s disciples, Michael McKeon, suggested a new model to study the origins of the novel as a genuine type of prose fiction which was influenced mainly by Italian, French and Spanish sources, and which began earlier than the texts written by the eighteenth-century ‘fathers’ of the genre, namely Daniel Defoe and Samuel Richardson. Following McKeon’s model built around ‘questions of truth’ and ‘questions of virtue’, which nonetheless missed some remarkable (female) precedents of the novel tradition, other critics like Josephine Donovan, Paula Backscheider, Ros Ballaster and Janet Todd, among others, have been in charge of rescuing these texts, claiming their influence in the development of the genre. To illustrate their critical approach, and to stress the relationship between former and foreign sources and the incipient –and autochthonous— form of the novel in the late seventeenth century, I will use some examples extracted from Behn’s fiction.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech