957 resultados para Multiplicity of positive solutions


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Recent research into population standards of life satisfaction has revealed a remarkable level of uniformity, with the mean values for Western populations clustering at around three-quarters of the measurement scale maximum. While this seems to suggest the presence of a homeostatic mechanism for life satisfaction, the character of such a hypothetical device is uncertain. This paper proposes that well-being homeostasis is controlled by positive cognitive biases pertaining to the self. Most particular in this regard are the positive biases in relation to self-esteem, control and optimism. Past controversies in relation to this proposition are reviewed and resolved in favour of the proposed mechanism. The empirical data to support this hypothesis are discussed in the context of perceived well-being as an adaptive human attribute.

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Review of H.L.A. Hart's account of the minimum moral content of law - assesses its consistency with the methodology provided in his description of the focal meaning or central case of law - particular focus is Hart's consideration of the ultimate end of man - how difficulties faced by Hart's account of the minimum moral content of law can be overcome.

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The article examines the levels of positive school engagement, and family characteristics associated with engagement, in adolescents in Australia and the United States. There are several modifiable family characteristics related to positive behavior. These include parents boosting both rewards for and opportunities to participate in prosocial activities, and the importance of expressing clear disapproval of antisocial behavior and drug use. Family management practices and family conflict influence adolescents' views about school and home and need to be addressed. There is evidence of the validity of ecological approaches to development, which underscores the inter-relationships between young people's developmental contexts.

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It is a well-known fact that several prominent bargaining solutions are responsive to changes in status-quo (i.e., disagreement or fallback) payoffs. When an agent’s status-quo payoff increases, his solution payoff either stays the same or increases. A fully general result for these solutions’ status-quo point ranking is impossible to establish. In this paper, using an important class of bargaining problems, a ranking of the relative status-quo point responsiveness of prominent bargaining solutions is obtained. Using the Constant Elasticity of Substitution class of bargaining problems, regardless of the concavity of the Pareto frontier and the level of increase in one’s status-quo payoff, we find the equal gains solution is the most responsive with respect to changes in status-quo payoffs, followed by the Nash solution. The equal sacrifice solutions is the least responsive, followed by the Kalai/Smorodinsky solution.

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This thesis is about using appropriate tools in functional analysis arid classical analysis to tackle the problem of existence and uniqueness of nonlinear partial differential equations. There being no unified strategy to deal with these equations, one approaches each equation with an appropriate method, depending on the characteristics of the equation. The correct setting of the problem in appropriate function spaces is the first important part on the road to the solution. Here, we choose the setting of Sobolev spaces. The second essential part is to choose the correct tool for each equation. In the first part of this thesis (Chapters 3 and 4) we consider a variety of nonlinear hyperbolic partial differential equations with mixed boundary and initial conditions. The methods of compactness and monotonicity are used to prove existence and uniqueness of the solution (Chapter 3). Finding a priori estimates is the main task in this analysis. For some types of nonlinearity, these estimates cannot be easily obtained, arid so these two methods cannot be applied directly. In this case, we first linearise the equation, using linear recurrence (Chapter 4). In the second part of the thesis (Chapter 5), by using an appropriate tool in functional analysis (the Sobolev Imbedding Theorem), we are able to improve previous results on a posteriori error estimates for the finite element method of lines applied to nonlinear parabolic equations. These estimates are crucial in the design of adaptive algorithms for the method, and previous analysis relies on, what we show to be, unnecessary assumptions which limit the application of the algorithms. Our analysis does not require these assumptions. In the last part of the thesis (Chapter 6), staying with the theme of choosing the most suitable tools, we show that using classical analysis in a proper way is in some cases sufficient to obtain considerable results. We study in this chapter nonexistence of positive solutions to Laplace's equation with nonlinear Neumann boundary condition. This problem arises when one wants to study the blow-up at finite time of the solution of the corresponding parabolic problem, which models the heating of a substance by radiation. We generalise known results which were obtained by using more abstract methods.

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In the industries involving alkaline solutions in different process streams, the nature and stability of oxide films formed on the metallic surfaces determine the rates of erosion–corrosion of the equipment. In the present study the characteristics of the oxide films formed on AISI 1020 steel in a 2.75 M sodium hydroxide solution at temperatures up to 175°C, have been investigated by employing electrochemical techniques of cyclic voltammetry and chronoamperometry. The experiments were carried out in an autoclave system based upon a ‘rotating cylinder electrode’ geometry to determine the effects of turbulence on the stability of the films. The results suggest that little protection is afforded in the active region (at about −0.8 VSHE). In the passive region at low potentials (−0.6 V to −0.4 VSHE), it appears the films are compact and more stable, and therefore provide good protection. At higher potentials (>−0.4 VSHE) in the passive region, the results suggest that film formation and dissolution occur simultaneously and the increase in temperature and turbulence causes a breakdown of the passive film resulting in a situation similar to nonprotective magnetite growth.

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This research found that positive irrational beliefs can be separated into distinct categories. These categories only had weak power for explaining aspects of mental health, including emotional state, satisfaction with life, and self-esteem. The direction of these relationships also varied according to the specific positive irrational beliefs being examined. The portfolio presents four case studies to examine the importance of a biopsychosocial model of health and concludes that all health professionals need an understanding of the potential interactions impacting on individuals' experiences with particular conditions.

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This article responds to recent calls for a focus on successful development in young people and examination of its developmental precursors, in order to identify potentially modifiable targets for interventions. The current study examined child and adolescent precursors of positive functioning in emerging adulthood, including individual characteristics, relationship factors, and connections to the community, using a multidimensional positive development measure at 19–20 years. The sample consisted of 511 males and 647 females who were participants in the Australian Temperament Project, a population based longitudinal study that has followed young people's psychosocial adjustment from infancy to early adulthood. Higher levels of positive development in emerging adulthood were associated with stronger family and peer relationships, better adjustment to the school setting, higher family socioeconomic status, and better emotional control. Some significant gender differences were observed, with emotional control, family relationships, and community orientation all being stronger predictors of males' than of females' positive development. The findings provide possible targets for child and adolescent interventions to promote positive development in early adulthood.