Search results for "DOMAIN"
showing 10 items of 2485 documents
Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
1994
We use Morse theory to estimate the number of positive solutions of an elliptic problem in an open bounded setΩ ∉ ℝN. The number of solutions depends on the topology ofΩ, actually onP t (Ω), the Poincare polynomial ofΩ. More precisely, we obtain the following Morse relations: $$\sum\limits_{u \in K} {t^{\mu \left( u \right)} } = tP_t \left( \Omega \right) + t^2 [P_t \left( \Omega \right) - 1] + t\left( {1 + t} \right)\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{O} \left( t \right)$$ , where $$\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{O} \left( t \right)$$ is a polynomial with non-negative integer coefficients,K is the set of positive solutions …
Locally tame plane polynomial automorphisms
2010
Abstract For automorphisms of a polynomial ring in two variables over a domain R , we show that local tameness implies global tameness provided that every 2-generated locally free R -module of rank 1 is free. We give examples illustrating this property.
The behavior of solutions of a parametric weighted (p, q)-laplacian equation
2021
<abstract><p>We study the behavior of solutions for the parametric equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ -\Delta_{p}^{a_1} u(z)-\Delta_{q}^{a_2} u(z) = \lambda |u(z)|^{q-2} u(z)+f(z,u(z)) \quad \mbox{in } \Omega,\, \lambda &gt;0, $\end{document} </tex-math></disp-formula></p> <p>under Dirichlet condition, where $ \Omega \subseteq \mathbb{R}^N $ is a bounded domain with a $ C^2 $-boundary $ \partial \Omega $, $ a_1, a_2 \in L^\infty(\Omega) $ with $ a_1(z), a_2(z) &gt; 0 $ for a.a. $ z \in \Omega $, $ p, q \in (1, \infty) $ and $ \Delta_{p}^{a_1}, \Delta_{q}^{a_2} $ are weighted …
The analysis of poverty in Italy. A fuzzy dynamic approach
2004
The commonly used criterion to sharply separate the poor from the non poor on the basis of a poverty threshold appears to be too severe in comparison with the nature of poverty. The latter is multidimensional in its components (domain) and continue in its states (codomain). Moreover an income-based poverty line allows for a remarkable number of spurious transitions below and over that line, which do not correspond to true variations in household’s standard of living. This study starts from the analysis of common (with crisp states) transition matrices; then a fuzzy multidimensional poverty indicator is built. In conclusion, fuzzy states transition matrices synthesize interpretative content …
An Energy Autonomous and Battery-Free Measurement System for Ambient Light Power with Time Domain Readout Measurement
2021
Internet of Things (IoT) provides more and more adequate infrastructures for many applications and advanced services. This context promotes the ability to satisfy the growing demand for innovative measuring systems, in- creasingly popular with intelligent nodes, totally wireless, easy to install that require the least possible maintenance. This paper aims to contribute to the state-of-the-art with an energy-autonomous and battery-free measurement platform designed to measure the ambient light power when its level exceeds the Limit of Detection (LoD) threshold. The proposed system consists of a single photovoltaic transducer to harvest energy and simultaneously detect ambient light. The resu…
Technology management, networking positions and work/life boundaries among working adult students
2021
In this digitalised world, crossing boundaries between life domains is becoming increasingly easy. We are constantly faced with the need to define whether we are online or offline, and technology management is now an integral part of daily life. Technology management, which is affected by the individual's networking position, has different components: connectivity management, online self-presentation and privacy management. The objective of this study is to explore technology management strategies among working adult students. The study identifies three networking positions: socio-affective enthusiasts, context-contingent pragmatists and pragmatic avoiders. These three groups have specific …
Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems
1999
Abstract Parallel multi-level algorithms combining a time discretization and an overlapping domain decomposition technique are applied to the numerical solution of singularly perturbed parabolic problems. Two methods based on the Schwarz alternating procedure are considered: a two-level method with auxiliary “correcting” subproblems as well as a three-level method with auxiliary “predicting” and “correcting” subproblems. Moreover, modifications of the methods using time extrapolation on subdomain interfaces are investigated. The emphasis is given to the description of the algorithms as well as their computer realization on a distributed memory multiprocessor computer. Numerical experiments …
Some Decision Results on Nonrepetitive Words
1985
The paper addresses some generalizations of the Thue Problem such as: given a word u, does there exist an infinite nonrepetitive overlap free (or square free) word having u as a prefix? A solution to this as well as to related problems is given for the case of overlap free words on a binary alphabet.
Obtenir un emploi dans son domaine de formation l un enjeu très relatif dans l'insertion des jeunes
2009
09023; Paradoxalement, obtenir un premier emploi correspondant strictement à sa formation initiale n'est souvent pas la norme, en dehors de quelques professions ou formations bien réglementées. Cette « adéquation » se détériore même, le plus souvent, au fil de la carrière dans des secteurs peu attractifs. Si le niveau de diplôme assure en général un risque de chômage moindre et un salaire plus élevé, l'impact de la spécialité de formation est plus complexe. Les formations professionnelles ne procurent pas seulement des compétences spécifiques à un domaine d'emploi mais aussi, et peut-être tout autant, des compétences générales et transférables. Qui plus est, une fois la carrière engagée en …