Existence and multiplicity results for a new p(x)−Kirchhoff problem with variable exponent

In this work, we study existence and multiplicity results for the following nonlocal $p(x)-$Kirchhoff problem with variable exponent:\begin{eqnarray} \label{10}\begin{cases}-\left(a-b\int_\Omega\frac{1}{p(x)}|\nabla u|^{p(x)}dx\right)div(|\nabla u|^{p(x)-2}\nabla u)=\lambda |u|^{p(x)-2}u+g(x,u) \mbox{ in } \Omega, \\u=0,\mbox{ on } \partial\Omega,\end{cases}\end{eqnarray}where $a\geq b > 0$ are constants, $\Omega\subset \mathbb{R}^N$ is a bounded smooth domain, $p\in C(\overline{\Omega})$ with $N>p(x)>1$, $\lambda$ is a real parameter and $g$ is a continuous function. The analysis developed in this paper corresponds to propose an approach based on the idea of considering a new nonlocal term which is presents interesting difficulties

Budesonide Oral Suspension Improves Symptomatic, Endoscopic, and Histologic Parameters Compared With Placebo in Patients With Eosinophilic Esophagitis

Background & Aims Pharmacologic treatment of eosinophilic esophagitis (EoE) is limited to off-label use of corticosteroids not optimized for esophageal delivery. We performed a randomized, controlled phase 2 trial to assess the ability of budesonide oral suspension (BOS), a novel muco-adherent topical steroid formulation, to reduce symptoms and esophageal eosinophilia in adolescents and adults with EoE. Methods In this multicenter, randomized, double-blind, placebo-controlled, parallel-group trial, 93 EoE patients between the ages of 11 and 40 years with dysphagia and active esophageal eosinophilia were randomized to receive either BOS 2 mg or placebo twice daily for 12 weeks. Co-primary outcomes were change in Dysphagia Symptom Questionnaire (DSQ) score from baseline, and proportion of patients with a histologic response (≤6 eosinophils/high-power field) after treatment. Endoscopic severity scores and safety parameters were assessed. Results At baseline, mean DSQ scores were 29.3 and 29.0, and mean peak eosinophil counts were 156 and 130 per hpf in the BOS and placebo groups, respectively. After treatment, DSQ scores were 15.0 and 21.5, and mean peak eosinophil counts were 39 and 113 per high-power field, respectively (P < .05 for all). For BOS vs placebo, change in DSQ score was −14.3 vs −7.5 (P = .0096), histologic response rates were 39% vs 3% (P < .0001), and change in endoscopic severity score was −3.8 vs 0.4 (P < .0001). Adverse events were similar between groups. Conclusions Treatment with BOS was well tolerated in adolescent and young adult patients with EoE and resulted in improvement in symptomatic, endoscopic, and histologic parameters using validated outcome instruments

Economic intelligence, a specific process to attract foreign direct investment

التحكم في التطور الحاصل على مستوى البحث والتطوير وتكنولوجيا الإعلام و الاتصال يدفع بالمؤسسات إلى تطوير تنظيماتها من خلال تقنيات المهارات البشرية لخلق الوضعيات التنافسية المناسبة والاستراتيجيات التي تسمح بالحصول على المعلومات الدقيقة على مستوى الأسواق المحلية و الدولية. هذا، ويلعب الذكاء الاقتصادي الدور الأهم في عملية التنمية بفضل تقديم الاستراتيجيات التي تسمح بالاستغلال الأمثل لقدراته وتوفير المعلومات الضرورية للمشاركين في العملية الاقتصادية. بالإضافة إلى دوره لفعال في جذب الاستثمارات الأجنبية المباشرة باعتبارها مصدرا هاما لإحداث التنمية، مما يدفع بالدول إلى السعي لتوفير البيئة الملائمة من توفير للمعلومات، الهياكل القاعدية، والسياسات التنظيمية، واستعمالها لاتخاذ القرار الأمثل في المنظمةIn the field of business management, controlling changes in research and development, and telecommunications technology, allows companies to improve their organization, using more advanced techniques to support competitive positions by using competitive strategies which can help the systems to reach specified information concerning the organization at the level of national or international market. The most important role in the factors and in economic development is the role of economic intelligence, because it offers strategies allow the optimal use of the available material and human resources, and gives accurate information that can help institutions. Besides, its major role in the attractiveness of foreign direct investment (FDI) considered as a source of national development through technology transfer and new organizational means and policies

A degenerate Kirchhoff-type problem involving variable s(⋅)s(\cdot)-order fractional p(⋅)p(\cdot)-Laplacian with weights

This paper deals with a class of nonlocal variable $s(.)$-order fractional $p(.)$-Kirchhoff type equations: \begin{eqnarray*} \left\{ \begin{array}{ll} \mathcal{K}\left(\int_{\mathbb{R}^{2N}}\frac{1}{p(x,y)}\frac{|\varphi(x)-\varphi(y)|^{p(x,y)}}{|x-y|^{N+s(x,y){p(x,y)}}} \,dx\,dy\right)(-\Delta)^{s(\cdot)}_{p(\cdot)}\varphi(x) =f(x,\varphi) \quad \mbox{in }\Omega, \\ \varphi=0 \quad \mbox{on }\mathbb{R}^N\backslash\Omega. \end{array} \right. \end{eqnarray*} Under some suitable conditions on the functions $p,s, \mathcal{K}$ and $f$, the existence and multiplicity of nontrivial solutions for the above problem are obtained. Our results cover the degenerate case in the $p(\cdot)$ fractional setting

A new class of multiple nonlocal problems with two parameters and variable-order fractional p(⋅)p(\cdot)-Laplacian

In the present manuscript, we focus on a novel tri-nonlocal Kirchhoff problem, which involves the $p(x)$-fractional Laplacian equations of variable order. The problem is stated as follows: \begin{eqnarray*} \left\{ \begin{array}{ll} M\Big(\sigma_{p(x,y)}(u)\Big)(-\Delta)^{s(\cdot)}_{p(\cdot)}u(x) =\lambda |u|^{q(x)-2}u\left(\int_\O\frac{1}{q(x)} |u|^{q(x)}dx \right)^{k_1}+\beta|u|^{r(x)-2}u\left(\int_\O\frac{1}{r(x)} |u|^{r(x)}dx \right)^{k_2} \quad \mbox{in }\Omega, \\ u=0 \quad \mbox{on }\partial\Omega, \end{array} \right. \end{eqnarray*} where the nonlocal term is defined as $$\sigma_{p(x,y)}(u)=\int_{\Omega\times \Omega}\frac{1}{p(x,y)}\frac{|u(x)-u(y)|^{p(x,y)}}{|x-y|^{N+s(x,y)p(x,y)}} \,dx\,dy.$$ Here, $\Omega\subset\mathbb{R}^{N}$ represents a bounded smooth domain with at least $N\geq2$. The function $M(s)$ is given by $M(s) = a - bs^\gamma$, where $a\geq 0$, $b>0$, and $\gamma>0$. The parameters $k_1$, $k_2$, $\lambda$ and $\beta$ are real parameters, while the variables $p(x)$, $s(\cdot)$, $q(x)$, and $r(x)$ are continuous and can change with respect to $x$. To tackle this problem, we employ some new methods and variational approaches along with two specific methods, namely the Fountain theorem and the symmetric Mountain Pass theorem. By utilizing these techniques, we establish the existence and multiplicity of solutions for this problem separately in two distinct cases: when $a>0$ and when $a=0$. To the best of our knowledge, these results are the first contributions to research on the variable-order $p(x)$-fractional Laplacian operator.Comment: 21 page

Disseny d'un inversor per a un vehicle elèctric

Davant l'emergència climàtica i els reptes ambientals, el vehicle elèctric es presenta com la mobilitat del futur i sostenible a diferència del transport tradicional. Davant la cada vegada major dependència de combustibles fòssils, la transició a la mobilitat elèctrica i sostenible es converteix en necessària. Per tal d'aconseguir que un vehicle es pugui propulsar a partir d'energia elèctrica, juga un paper principal l'inversor de potència. En aquest projecte es marca com a repte, dissenyar un inversor per a un vehicle elèctric a baixa escala. Tenint en compte que sigui a baix cost i que presenti unes bones prestacions. La primera part del projecte, costarà d'analitzar i entendre els fonaments necessaris per poder realitzar el disseny de l'inversor. S'aprofundirà en l'arquitectura del vehicle per tal d'entendre com treballa tot el conjunt del vehicle i quin paper pren l'inversor. Es dissenyarà un mòdul capaç de convertir l'energia elèctrica en corrent continu de la bateria auxiliar a corrent altern per tal de poder alimentar els perifèrics. El disseny ha de contemplar amb proteccions necessàries per a garantir la seguretat. Es dissenyarà un altre mòdul capaç de convertir l'energia elèctrica de la bateria d'alta tensió a un sistema trifàsic per a poder alimentar els motors que fan propulsar el vehicle. Aquest disseny també ha de contemplar amb proteccions necessàries per a garantir la seguretat

Formation à distance en entrepreneuriat

En 2009, après huit ans d'expérimentations du systèmeLMD, une réforme a été mise en place " licence nouvellegénération". Cette nouvelle réforme a instauré, entreautres, l'enseignement de l'entrepreneuriat commeélément d'un module d'ouverture, en toute licence desétablissements à accès ouvert.A la même période, à l’ère du numérique et de lamutualisation du savoir, le Bureau International duTravail(BIT), dans le cadre d'un projet financé et l’ACDI,a mis en place un cours de formation à l'entrepreneuriat -Comprendre L'Entreprise – (CLE) destiné aux pays duMoyen-Orient et d'Afrique du Nord.La plupart des universités Marocaines, dont la nôtre, ontessayé, entre 2010 et de 2014, de se baser sur lesressources de la formation CLE pour assurerl'enseignement de l'entrepreneuriat. Notre but dans cedocument est de retourner sur cette expérience en traitantle cas d'un groupe d'étudiants en licence de chimie à laFaculté des Sciences d'Agadir.La première partie est consacrée à la formation CLE.Quel objectif vise-t-elle ? Comment est-elle organisée ?Dans quel contexte et modalité pédagogique peut-elle êtreutilisée ? Quels sont les différents acteurs quiinterviennent et quel est le rôle de chacun ?La deuxième partie traite le champ d'application.Pourquoi l'enseignement de l’Entrepreneuriat ? Pourquoile choix des ressources de CLE ? Peut-on enseignerl'Entrepreneuriat à distance du côté législatif, comme ducôté logistique ? Comment on a procédé ? Quels sont lesmoyens dont disposent les étudiants ?Dans la troisième partie, on traite la formation en chiffes.Quel est le nombre et la nature des étudiants qui formentle groupe étudié ? Quel est le nombre des apprenants quiont consulté la plateforme CLE ? Quelle est la nature desressources ou d'activités pédagogiques qui ont étéconsultés ?L'initiation à l'Entrepreneuriat complète la formationthéorique des étudiants. Les moyens, humains etmatériels, à mettre en place pour son enseignementdoivent être à la hauteur des objectifs escomptés

Effect of lisdexamfetamine dimesylate on sleep in adults with attention-deficit/hyperactivity disorder

<p>Abstract</p> <p>Background</p> <p>Sleep problems are common in adults with attention-deficit/hyperactivity disorder (ADHD). This analysis aimed to evaluate the impact of lisdexamfetamine dimesylate (LDX) on sleep quality in adults with ADHD.</p> <p>Methods</p> <p>This 4-week, phase 3, double-blind, forced-dose escalation study of adults aged 18 to 55 years with ADHD randomized participants to receive placebo (n = 62), or 30 (n = 119), 50 (n = 117), or 70 (n = 122) mg/d LDX, taken once a day in the morning. The self-rated Pittsburgh Sleep Quality Index (PSQI) was administered at baseline and at week 4 to assess sleep quality. The PSQI global score assesses 7 sleep components (subjective sleep quality, sleep latency, sleep duration, habitual sleep efficiency, sleep disturbances, use of sleeping medications, and daytime dysfunction) each scored from 0 (no difficulty) to 3 (severe difficulty).</p> <p>Results</p> <p>The mean baseline PSQI global score was 5.8 for LDX and 6.3 for placebo (<it>P </it>= .19) indicating poor overall sleep quality. At endpoint, least squares (LS) mean change from baseline was -0.8 for LDX vs -0.5 for placebo (<it>P </it>= .33). The daytime functioning component showed significant improvement in LS mean change at endpoint for LDX compared with placebo (LDX -0.4 vs placebo 0.0, <it>P </it>= .0001). LS mean changes for the other 6 PSQI components did not significantly differ from placebo. Sleep-related treatment-emergent adverse events with an incidence ≥2% in the active treatment and placebo groups, respectively, were insomnia (19.3% and 4.8%), initial insomnia (5.0% and 3.2%), middle insomnia (3.6% and 0%), sleep disorder (0.6% and 3.2%), somnolence (0.3% and 3.2%), and fatigue (4.7% and 4.8%), and were generally mild or moderate in severity.</p> <p>Conclusion</p> <p>For most subjects, LDX was not associated with an overall worsening of sleep quality and significantly improved daytime functioning in adults with ADHD.</p> <p>Trial Registration</p> <p>clinicaltrials.gov Identifier: NCT00334880</p