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Minimum Magnetic Energy Theorem
The Thomson’s Theorem states that static charge distributions in conductors show up at the conducting surfaces in an equipotential configuration, so that the electrostatic energy is a minimum. In this work we study an analogue statement for magnetic systems: in a given set of conductors, the stored magnetic field energy reaches the minimum value for superficial current distributions so that the...
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In this paper the existence of two positive solutions for a Dirichlet problem having a critical growth, and depending on a real parameter, is established. The approach is based on methods which are totally variational, unlike the fundamental result of Ambrosetti, Brezis and Cerami where a clever combination of topological and variational methods is used in order to obtain the same conclusion. I...
متن کاملA Dichotomy Theorem for the General Minimum Cost Homomorphism Problem
In the constraint satisfaction problem (CSP ), the aim is to find an assignment of values to a set of variables subject to specified constraints. In the minimum cost homomorphism problem (MinHom), one is additionally given weights cva for every variable v and value a, and the aim is to find an assignment f to the variables that minimizes ∑ v cvf(v). Let MinHom (Γ) denote the MinHom problem para...
متن کاملA Dichotomy Theorem for General Minimum Cost Homomorphism Problem
In the constraint satisfaction problem (CSP ), the aim is to find an assignment of values to a set of variables subject to specified constraints. In the minimum cost homomorphism problem (MinHom), one is additionally given weights cva for every variable v and value a, and the aim is to find an assignment f to the variables that minimizes ∑ v cvf(v). Let MinHom (Γ) denote the MinHom problem para...
متن کاملDichotomy theorem for general Minimum Cost Homomorphisms Problem
In the classical Constraint Satisfaction Problem(CSP ) two finite models are given and we are asked to find their homomorphism. In the MinHom problem, besides the models, a set of weighted pairs of elements of this two models is given and the task is to find a homomorphism that maximizes the weight of pairs consistent with the homomorphism, i.e. pairs for which homomorphism maps the first eleme...
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ژورنال
عنوان ژورنال: Nature
سال: 1894
ISSN: 0028-0836,1476-4687
DOI: 10.1038/051105a0