Periodic solutions for nonautonomous second order differential inclusions systems with p- Laplacian

Using the nonsmooth variant of minimax point theorems, some existence results are obtained for periodic solutions of nonautonomous second-order differential inclusions systems with p-Laplacian.

Classical horizontal inequity and reranking: an integrated approach

The last 20 years have seen a significant evolution in the literature on horizontal inequity (HI) and have generated two major and "rival" methodological strands, namely, classical HI and reranking. We propose in this paper a class of ethically flexible tools that integrate these two strands. This is achieved using a measure of inequality that merges the well-known Gini coefficient and Atkinson indices, and that allows a decomposition of the total redistributive effect of taxes and transfers in a vertical equity effect and a loss of redistribution due to either classical HI or reranking. An inequality-change approach and a money-metric cost-of-inequality approach are developed. The latter approach makes aggregate classical HI decomposable across groups. As in recent work, equals are identified through a nonparametric estimation of the joint density of gross and net incomes. An illustration using Canadian data from 1981 to 1994 shows a substantial, and increasing, robust erosion of redistribution attributable both to classical HI and to reranking, but does not reveal which of reranking or classical HI is more important since this requires a judgement that is fundamentally normative in nature.

Algebraic extensions in free groups

The aim of this paper is to unify the points of view of three recent and independent papers (Ventura 1997, Margolis, Sapir and Weil 2001 and Kapovich and Miasnikov 2002), where similar modern versions of a 1951 theorem of Takahasi were given. We develop a theory of algebraic extensions for free groups, highlighting the analogies and differences with respect to the corresponding classical fieldt heoretic notions, and we discuss in detail the notion of algebraic closure. We apply that theory to the study and the computation of certain algebraic properties of subgroups (e.g. being malnormal, pure, inert or compressed, being closed in certain profinite topologies) and the corresponding closure operators. We also analyze the closure of a subgroup under the addition of solutions of certain sets of equations.

Lp-solutions to BSDEs with super-linear growth coefficient. Application to degenerate semilinear PDEs.

We consider multidimensional backward stochastic differential equations (BSDEs). We prove the existence and uniqueness of solutions when the coefficient grow super-linearly, and moreover, can be neither locally Lipschitz in the variable y nor in the variable z. This is done with super-linear growth coefficient and a p-integrable terminal condition (p & 1). As application, we establish the existence and uniqueness of solutions to degenerate semilinear PDEs with superlinear growth generator and an Lp-terminal data, p & 1. Our result cover, for instance, the case of PDEs with logarithmic nonlinearities.

Multiplicity of limit cycles and analytic m-solutions for planar differential systems

"Vegeu el resum a l'inici del document del fitxer adjunt."

Stability of periodic solutions obtained via the averaging method for nonsmooth Lipschitz system

"Vegeu el resum a l'inici del document del fitxer adjunt."

The existence of periodic solutions of a two dimensional Lattice

We consider a two dimensional lattice coupled with nearest neighbor interaction potential of power type. The existence of infinite many periodic solutions is shown by using minimax methods.

Intervention précoce dans la phase initiale des troubles psychotiques à Lausanne: quels problèmes et quelles solutions [Early intervention for the initial phase of psychotic disorders in Lausanne: what problems and what solutions?]

Schizophrenia has long been considered with pessimism, but the recent interest in the early phase of psychotic disorders has modified this often unjustified perception. Literature has demonstrated the benefit of the development of programs specialised in the treatment of early psychosis, which tend to be developed in many countries. It is however important to match them to local needs as well as to the structure of local health services. This paper reviews elements that justify such a development in Lausanne, Switzerland, and describe its various elements.

Strong solutions for stochastic porous media equations with jumps

We prove global well-posedness in the strong sense for stochastic generalized porous media equations driven by locally square integrable martingales with stationary independent increments.

BORN AT 27 WEEKS OF GESTATION WITH CLASSICAL PKU: CHALLENGES OF DIETETIC MANAGEMENT IN A VERY PRETERM INFANT

Only few cases of classical phenylketonuria (PKU) in premature infants have been reported. Treatment of these patients is challenging due to the lack of a phenylalanine-free amino acid solution for parenteral infusion. The boy was born at 27 weeks of gestation with a weight of 1000 g (P10). He received parenteral nutrition with a protein intake of 3 g/kg/day. On day 7 he was diagnosed with classical PKU (genotype IVS10-11G>A/IVS12+ 1G>A) due to highly elevated phenylalanine (Phe) level in newborn screening (2800 micromol/L). His maximum plasma Phe level reached 3696 micromol/L. Phe intake was stopped for 4 days. During this time the boy received intravenous glucose and lipids as well as little amounts of Phe-free formula by a nasogastric tube. Due to a deficit of essential amino acids and insufficient growth, a parenteral nutrition rich in branched-chain amino-acids and relatively poor in Phe was added, in order to promote protein synthesis without overloading in Phe. Under this regimen, Phe plasma levels normalized on day 19 when intake of natural protein was started. The boy has now a corrected age of 2 years. He shows normal growth parameters and psychomotor development. Despite a long period of highly elevated Phe levels in the postnatal period our patient shows good psychomotor development. The management of premature infants with PKU depends on the child's tolerance to enteral nutrition. It demands an intensive follow-up by an experienced team and dedicated dietician. Appropriate Phe-free parenteral nutrition would be necessary especially in case of gastro-intestinal complications of prematurity.

The Core ideas and axioms of classical fascism (1919-1945)

This article presents and explores the axioms and core ideas, or idées-force, of the Fascist ideologies of the first third of the twentieth century. The aim is to identify the features that define the term “Classical Fascism” as a conceptual category in the study of politics and to uncover the core ideas of its political theory. This analysis requires an appraisal of both the idées-force themselves and the political use that is made of them. If these appreciations are correct, Classical Fascism is characterized by a set of ideological and political aims and methods in which ideas, attitudes and behaviours are determined by an anti-democratic palingenetic ultranationalism underpinned by a sacralized ideology; the quest for a united, indissoluble society as apolitical system and, at the same time, the collective myth that mobilizes and redeems the nation; and third, violence as a political vehicle applied unchecked against internal opposition and against external enemies who challenge the nation´s progression towards the dream of rebirth and the culmination of this progression in the form of an empire.

Cellular schwannomas of the intracranial and intraspinal compartment: morphological and immunological characteristics compared with classical benign schwannomas.

The concept of cellular schwannoma as an unusual benign tumor is well established for peripheral nerves but has never been tested in neurosurgical series. In order to test the validity of this concept in cranial nerves and spinal roots we performed an analysis of the clinical and morphological characteristics of 12 cellular and 166 classical benign schwannomas. Immunohistochemical detection of antigen expression in Schwann cells including proliferating cell nuclear antigen (PCNA) was also performed. This study shows that cellular schwannomas in neurosurgical series manifest at a lower age than the classical benign variant and occur mainly in the spinal roots. Mitotic activity and sinusoidal vessels appear more frequently in cellular schwannomas and constitute with high cellularity, the most valuable criteria separating both entities. The postoperative course in both types of tumors was free of metastases or sarcomatous changes. Immunoexpression of S-100 protein, vimentin, epithelial membrane antigen and glial fibrillary acidic protein is not statistically different between the two variants. In contrast, PCNA is more highly expressed in cellular schwannomas. These These results confirm the concept that cellular schwannomas are a clinico-pathological variant of benign schwannomas and provide significant support for the introduction of this entity in neurosurgical oncology.

Political economics and normative analysis

The approaches and opinions of economists often dominate public policy discussion. Economists have gained this privileged position partly (or perhaps mainly) because of the obvious relevance of their subject matter, but also because of the unified methodology (neo-classical economics) that the vast majority of modern economists bring to their analysis of policy problems and proposed solutions. The idea of Pareto efficiency and its potential trade-off with equity is a central idea that is understood by all economists and this common language provides the economics profession with a powerful voice in public affairs. The purpose of this paper is to review and reflect upon the way in which economists find themselves analysing and providing suggestions for social improvements and how this role has changed over roughly the last 60 years. We focus on the fundamental split in the public economics tradition between those that adhere to public finance and those that adhere to public choice. A pure public finance perspective views failures in society as failures of the market. The solutions are technical, as might be enacted by a benevolent dictator. The pure public choice view accepts (sometimes grudgingly) that markets may fail, but so, it insists, does politics. This signals institutional reforms to constrain the potential for political failure. Certain policy recommendations may be viewed as compatible with both traditions, but other policy proposals will be the opposite of that proposed within the other tradition. In recent years a political economics synthesis emerged. This accepts that institutions are very important and governments require constraints, but that some degree of benevolence on the part of policy makers should not be assumed non-existent. The implications for public policy from this approach are, however, much less clear and perhaps more piecemeal. We also discuss analyses of systematic failure, not so much on the part of markets or politicians, but by voters. Most clearly this could lead to populism and relaxing the idea that voters necessarily choose their interests. The implications for public policy are addressed. Throughout the paper we will relate the discussion to the experience of UK government policy-making.

Positive solutions of nonlinear problems involving the square root of the Laplacian

We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, we establish existence and regularity results, as well as a priori estimates of Gidas-Spruck type. In addition, among other results, we prove a symmetry theorem of Gidas-Ni-Nirenberg type.