Existence of blow-up solutions for a non-linear equation with gradient term in RN

AbstractIn this paper we study the existence of positive large solutions for the equation Δpu+λ|∇u|p−1=ρ(x)f(u) in RN, where f is a non-negative non-decreasing function and ρ is a non-negative continuous function. We show under some hypotheses detailed below the existence of positive solutions which blow up at infinity

Type Ia Supernovae as Stellar Endpoints and Cosmological Tools

Empirically, Type Ia supernovae are the most useful, precise, and mature tools for determining astronomical distances. Acting as calibrated candles they revealed the presence of dark energy and are being used to measure its properties. However, the nature of the SN Ia explosion, and the progenitors involved, have remained elusive, even after seven decades of research. But now new large surveys are bringing about a paradigm shift --- we can finally compare samples of hundreds of supernovae to isolate critical variables. As a result of this, and advances in modeling, breakthroughs in understanding all aspects of SNe Ia are finally starting to happen.Comment: Invited review for Nature Communications. Final published version. Shortened, update

Mature autologous dendritic cell vaccines in advanced non-small cell lung cancer: a phase I pilot study

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Background: Overall therapeutic outcomes of advanced non-small-cell lung cancer (NSCLC) are poor. The dendritic cell (DC) immunotherapy has been developed as a new strategy for the treatment of lung cancer. The purpose of this study was to evaluate the feasibility, safety and immunologic responses in use in mature, antigen-pulsed autologous DC vaccine in NSCLC patients. Methods: Five HLA-A2 patients with inoperable stage III or IV NSCLC were selected to receive two doses of 5 x 107 DC cells administered subcutaneous and intravenously two times at two week intervals. The immunologic response, safety and tolerability to the vaccine were evaluated by the lymphoproliferation assay and clinical and laboratorial evolution, respectively. Results: The dose of the vaccine has shown to be safe and well tolerated. The lymphoproliferation assay showed an improvement in the specific immune response after the immunization, with a significant response after the second dose (p = 0.005). This response was not long lasting and a tendency to reduction two weeks after the second dose of the vaccine was observed. Two patients had a survival almost twice greater than the expected average and were the only ones that expressed HER-2 and CEA together. Conclusion: Despite the small sample size, the results on the immune response, safety and tolerability, combined with the results of other studies, are encouraging to the conduction of a large clinical trial with multiples doses in patients with early lung cancer who underwent surgical treatment.30Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Department of Radiology of the Hospital Estadual Sumare UNICAMPSCOGConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)CNPq [401327/05-1

Effect of sampling effort and sampling frequency on the composition of the planktonic crustacean assemblage: a case study of the river Danube

Although numerous studies have focused on the seasonal dynamics of riverine zooplankton, little is known about its short-term variation. In order to examine the effects of sampling frequency and sampling effort, microcrustacean samples were collected at daily intervals between 13 June and 21 July of 2007 in a parapotamal side arm of the river Danube, Hungary. Samples were also taken at biweekly intervals from November 2006 to May 2008. After presenting the community dynamics, the effect of sampling effort was evaluated with two different methods; the minimal sample size was also estimated. We introduced a single index (potential dynamic information loss; to determine the potential loss of information when sampling frequency is reduced. The formula was calculated for the total abundance, densities of the dominant taxa, adult/larva ratios of copepods and for two different diversity measures. Results suggest that abundances may experience notable fluctuations even within 1 week, as do diversities and adult/larva ratios

Nature-Based Tourism and Neoliberalism: Concealing Contradictions

This paper demonstrates how tourism, including nature based tourism, simultaneously produces and conceals the contradictions of capitalism; this is because it relies on creating attractions, or new sources of accumulation from the very crises it produces. Nature-based tourism is promoted as a ‘win-win’ that can resolve the contradiction between continual economic growth and finite natural resources (Fletcher, 2011; O’Connor, 1988). This is made possible via a process of neoliberalising nature, which cuts the threads that bind ecosystems together, so that the constituent parts can be transformed into new commodities (Büscher et al, 2012; Castree, 2009; Heynen et al, 2007; McCarthy and Prudham, 2004: 275-277; Peck and Theodore, 2007). To draw out these broad arguments, this paper firstly examines the claims around tourism as ‘Green Economy’ – which proponents claim can produce environmentally sustainable economic growth – a benefit also associated with nature-based tourism. I also show that this can be regarded as simply the latest version of an existing debate rather than offering a new intepretation. This is explored further via a comparative analysis of how tourism neoliberalises nature at the scales of the individual animal (elephant trekking in Thailand) and the landscape (by global networks of NGOs operating in Madagascar). In the case of neoliberalisation of nature at the individual animal scale, the notion of bodily fix is also important. It is not just the elephants that are primed for commodity capture, it is the emotional experience of close interactions with elephants which is commodified (Fletcher, 2014: 185; Fletcher and Neves, 2013). Such changes reshape societal relations with nature, but in uneven and incomplete ways. This is underlined by a discussion of the case of the Durban Vision Initiative in Madagascar – which reveals how neoliberalisation was incomplete as a result of its encounter with local level materialities

Comparison of participants and non-participants to the ORISCAV-LUX population-based study on cardiovascular risk factors in Luxembourg

BACKGROUND: Poor response is a major concern in public health surveys. In a population-based ORISCAV-LUX study carried out in Grand-Duchy of Luxembourg to assess the cardiovascular risk factors, the non-response rate was not negligible. The aims of the present work were: 1) to investigate the representativeness of study sample to the general population, and 2) to compare the known demographic and cardiovascular health-related profiles of participants and non-participants. METHODS: For sample representativeness, the participants were compared to the source population according to stratification criteria (age, sex and district of residence). Based on complementary information from the "medical administrative database", further analysis was carried out to assess whether the health status affected the response rate. Several demographic and morbidity indicators were used in the univariate comparison between participants and non-participants. RESULTS: Among the 4452 potentially eligible subjects contacted for the study, there were finally 1432 (32.2%) participants. Compared to the source population, no differences were found for gender and district distribution. By contrast, the youngest age group was under-represented while adults and elderly were over-represented in the sample, for both genders. Globally, the investigated clinical profile of the non-participants was similar to that of participants. Hospital admission and cardiovascular health-related medical measures were comparable in both groups even after controlling for age. The participation rate was lower in Portuguese residents as compared to Luxembourgish (OR = 0.58, 95% CI: 0.48-0.69). It was also significantly associated with the professional status (P < 0.0001). Subjects from the working class were less receptive to the study than those from other professional categories. CONCLUSION: The 32.2% participation rate obtained in the ORISCAV-LUX survey represents the realistic achievable rate for this type of multiple-stage, nationwide, population-based surveys. It corresponds to the expected rate upon which the sample size was calculated. Given the absence of discriminating health profiles between participants and non-participants, it can be concluded that the response rate does not invalidate the results and allows generalizing the findings for the population