Large mass boundary condensation patterns in the stationary Keller-Segel system

We consider the boundary value problem $-\Delta u + u =\lambda e^u$ in $\Omega$ with Neumann boundary condition, where $\Omega$ is a bounded smooth domain in $\mathbb R^2$, $\lambda>0.$ This problem is equivalent to the stationary Keller-Segel system from chemotaxis. We establish the existence of a solution $u_\lambda$ which exhibits a sharp boundary layer along the entire boundary $\partial\Omega$ as $\lambda\to 0$. These solutions have large mass in the sense that $ \int_\Omega \lambda e^{u_\lambda} \sim |\log\lambda|.

Multi-bubble nodal solutions for slightly subcritical elliptic problems in domains with symmetries

We study the existence of sign-changing solutions with multiple bubbles to the slightly subcritical problem -\Delta u=|u|^{2^*-2-\e}u \hbox{in}\Omega, \quad u=0 \hbox{on}\partial \Omega, where $\Omega$ is a smooth bounded domain in $\R^N$, $N\geq 3$, $2^*=\frac{2N}{N-2}$ and \e>0 is a small parameter. In particular we prove that if $\Omega$ is convex and satisfies a certain symmetry, then a nodal four-bubble solution exists with two positive and two negative bubbles

Torus action on S^n and sign changing solutions for conformally invariant equations

International audienc

Boundary clustered layers near the higher critical exponents

We consider the supercritical problem {equation*} -\Delta u=|u| ^{p-2}u\text{\in}\Omega,\quad u=0\text{\on}\partial\Omega, {equation*} where $\Omega$ is a bounded smooth domain in $\mathbb{R}^{N}$ and $p$ smaller than the critical exponent $2_{N,k}^{\ast}:=\frac{2(N-k)}{N-k-2}$ for the Sobolev embedding of $H^{1}(\mathbb{R}^{N-k})$ in $L^{q}(\mathbb{R}^{N-k})$, $1\leq k\leq N-3.$ We show that in some suitable domains $\Omega$ there are positive and sign changing solutions with positive and negative layers which concentrate along one or several $k$-dimensional submanifolds of $\partial\Omega$ as $p$ approaches $2_{N,k}^{\ast}$ from below. Key words:Nonlinear elliptic boundary value problem; critical and supercritical exponents; existence of positive and sign changing solutions

Platelets promote human macrophages-mediated macropinocytosis of Clostridioides difficile

Clostridioides difficile is the main causative agent of hospital-acquired diarrhea and the potentially lethal disease, C. difficile infection. The cornerstone of the current therapy is the use of antibiotics, which is not fully effective. The molecular mechanisms, inflammatory conditions and host-immune responses that could benefit the persistence or elimination of C. difficile remain unclear. Macrophages perform different ways of endocytosis as part of their immune surveillance functions and platelets, classically known for their coagulatory role, are also important modulators of the immune system. The aim of this study was to evaluate the endocytosis of vegetative C. difficile by human macrophages and the involvement of platelets in this process. Our results showed that both macrophages and platelets interact with live and heat-killed C. difficile. Furthermore, platelets form complexes with human monocytes in healthy donor´s fresh blood and the presence of C. difficile increased these cell-cell interactions. Using flow cytometry and confocal microscopy, we show that macrophages can internalize C. difficile and that platelets improve this uptake. By using inhibitors of different endocytic pathways, we demonstrate that macropinocytosis is the route of entry of C. difficile into the cell. Taken together, our findings are the first evidence for the internalization of vegetative non-toxigenic and hypervirulent C. difficile by human macrophages and highlight the role of platelets in innate immunity during C. difficile infection. Deciphering the crosstalk of C. difficile with immune cells could provide new tools for understanding the pathogenesis of C. difficile infection and for the development of hostdirected therapies.Fil: Barbero, Angela Maria. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires; ArgentinaFil: Hernández del Pino, Rodrigo Emanuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires; ArgentinaFil: Fuentes, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Medicina Experimental. Academia Nacional de Medicina de Buenos Aires. Instituto de Medicina Experimental; ArgentinaFil: Barrionuevo, Paula. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Medicina Experimental. Academia Nacional de Medicina de Buenos Aires. Instituto de Medicina Experimental; ArgentinaFil: Pasquinelli, Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires. Universidad Nacional del Noroeste de la Provincia de Buenos Aires. Centro de Investigaciones y Transferencia del Noroeste de la Provincia de Buenos Aires; Argentin

Estudio de factibilidad para la comercialización de zapatillas y mochilas eco-amigables en la ciudad del Cusco, año 2018.

Esta investigación analiza y evalúa la posibilidad de distribuir dos tipos de productos textiles eco-amigables: unas zapatillas y una mochila/maletín, las cuales están hechas de materiales naturales y su producción contribuyen al comercio justo, dirigido a personas que buscan una alternativa sustentable a los convencionales. Se establece un mercado objetivo, en este caso son los jóvenes de 21 a 29 años pertenecientes a los sectores socioeconómicos A, B y C de la provincia de Cusco, se determinó el precio de las zapatillas y de la mochila/maletín mediante la encuesta realizada y analizando el precio de la competencia, los precios hallados fueron de 300 soles las zapatillas y 180 la mochila/ maletín. Se determinó la localización del local comercial mediante la herramienta de promedios ponderados, será en el distrito de Cusco, plaza San Francisco. Se determinan los equipos y muebles necesarios para distribución, para la correcta determinación del área del local comercial se utiliza el cálculo de superficie de Guerchet resultando un total de 26.2 m², pero existe un local comercial en alquiler en la zona de La plaza San Francisco con un área de 43.6 m², se utilizará este local. Se determinan los costos de mercadería, administración y venta, alquiler del local, entre otros gastos. Para llevar a cabo el proyecto, se necesita una inversión de S/. 341 725.63, el 29.26% representa el préstamo mediante una entidad bancaria.This research analyzes and evaluates the possibility of distributing two types of ecological textile products: a pair of sneakers and a backpack / briefcase, which are made of natural materials and support fair trade, aimed at people looking for a sustainable alternative to conventional ones. A target market is established, in this case young people between the ages of 21 and 29 belonging to the socioeconomic sectors A, B and C of the province of Cusco, determined the price of the shoes and the backpack / briefcase through the survey and analyzing the price of the competition, the prices found were 300 soles for the shoes and 180 for the backpack / briefcase. The location of the commercial premises was determined through the tool of weighted averages, it will be in the district of Cusco, Plaza San Francisco. The necessary equipment and furniture are determined for distribution, for the correct determination of the commercial premises area the Guerchet surface calculation is used, resulting in a total of 26.2 m², but there is a commercial space for rent in the San Francisco Plaza area. An area of 43.6 m², this place will be used. The costs of merchandise, administration and sale, rental of the premises, among other expenses, are determined. To carry out the project, an investment of S/.341 725.63, el 29.26% represents the loan through a bank.Tesi

One-step preparation of nitrogen doped titanium oxide/Au/reduced graphene oxide composite thin films for photocatalytic applications

© The Royal Society of Chemistry 2015. Titanium dioxide (TiO2) and TiO2/Au/reduced graphene oxide (rGO) nanocomposite thin films were grown by ultraviolet matrix assisted pulsed laser evaporation (UV-MAPLE) in controlled O2 or N2 atmospheres. An UV KrF∗ excimer laser (λ = 248 nm, τFWHM ∼ 25 ns, ν = 10 Hz) was used for the irradiation of the MAPLE targets consisting of TiO2 nanoparticles (NPs) or mixtures of TiO2 NPs, Au NPs, and graphene oxide (GO) platelets in aqueous solutions. The effect of Au and GO addition as well as nitrogen doping on the photocatalytic activity of the TiO2 thin films was investigated. The evaluation of the photocatalytic activity was performed by photodegradation of the organic methylene blue model dye pollutant under UV-visible light, >simulated sun> irradiation conditions. Our results show that the photocatalytic properties of TiO2 were significantly improved by the addition of Au NPs and rGO platelets. Nitrogen inclusion into the rGO structure further contributes to the enhancement of the TiO2/Au/rGO nanocomposites photocatalytic activity.The authors thank the financial support of the Executive Unit for Financing Higher Education, Research, Development, and Innovation of the Romanian Ministry of Education and Scientific Research under the contract PN-IIPT-PCCA-2011-3.2-1235 and the Spanish Ministry of Economy and Competitiveness under the contract ENE2014-56109-C3-3-R.Peer reviewedPeer Reviewe

Análisis y propuesta de construcción de marca en una empresa social de Lima: caso de estudio: HOSEG

La presente investigación plantea la necesidad de conocer cómo construir una marca fuerte para una empresa social basándose en el modelo de Kevin Keller, incluyendo el planteamiento de la propuesta de valor, la definición del posicionamiento de la marca y determinando qué actividades de marketing construyen Valor Capital de Marca para el cliente. La aproximación de la investigación se realiza mediante el estudio de caso de una empresa social peruana la cual ofrece al mercado productos outdoor, con la peculiaridad que por cada casaca que logran vender donan otra a niños de escasos recursos de los andes peruanos. La empresa tiene como objetivo de corto plazo ingresar a un nuevo segmento del mercado; por tal motivo, la investigación presenta como uno de sus objetivos específicos identificar y definir el target al cual la marca puede dirigirse y plantear la propuesta de construcción de marca enfocada en este nuevo target. Para lograrlo se comenzó con realización de un análisis interno y externo a la empresa para crear una visión general y comprender los factores que influyen en ella. Posteriormente, a través de entrevistas a los clientes actuales y al gerente de marca de la empresa, se identifica la propuesta de valor actual y se define el posicionamiento de marca basados en el modelo de Keller. Luego, se realizaron focus groups, cuyos participantes formaban parte del nuevo target propuesto, para identificar insights que puedan agregar valor a la propuesta de la marca. La propuesta de valor potenciada con los insights recabados en los focus groups fue validada a través de encuestas realizadas a personas del target propuesto. Luego, con la información obtenida en los focus groups y en las encuestas se propusieron actividades de marketing que contribuyeran a la construcción de una marca fuerte. Finalmente, se compara el valor económico generado para la empresa en ambos escenarios: con actividades de marketing y sin actividades de marketing.Tesi

Sign-changing tower of bubbles for a sinh-Poisson equation with asymmetric exponents

Motivated by the statistical mechanics description of stationary 2D-turbulence, for a sinh-Poisson type equation with asymmetric nonlinearity, we construct a concentrating solution sequence in the form of a tower of singular Liouville bubbles, each of which has a different degeneracy exponent. The asymmetry parameter $\gamma\in(0,1]$ corresponds to the ratio between the intensity of the negatively rotating vortices and the intensity of the positively rotating vortices. Our solutions correspond to a superposition of highly concentrated vortex configurations of alternating orientation; they extend in a nontrivial way some known results for $\gamma=1$. Thus, by analyzing the case $\gamma\neq1$ we emphasize specific properties of the physically relevant parameter $\gamma$ in the vortex concentration phenomena