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    Existence and Multiplicity of Positive Solutions for Dirichlet Problems in Unbounded Domains by Tsung-Fang Wu

    Published 2007-01-01
    “…We consider the elliptic problem −Δu+u=b(x)|u|p−2u+h(x) in Ω, u∈H01(Ω), where 2<p<(2N/(N−2)) (N≥3), 2<p<∞ (N=2), Ω is a smooth unbounded domain in ℝN, b(x)∈C(Ω), and h(x)∈H−1(Ω). We use the shape of domain Ω to prove that the above elliptic problem has a ground-state solution if the coefficient b(x) satisfies b(x)→b∞>0 as |x|→∞ and b(x)≥c for some suitable constants c∈(0,b∞), and h(x)≡0. …”
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  6. 106

    Multiple Positive Solutions of Nonhomogeneous Elliptic Equations in Unbounded Domains by Tsing-San Hsu

    Published 2007-01-01
    “…We will show that under suitable conditions on f and h, there exists a positive number λ∗ such that the nonhomogeneous elliptic equation −Δu+u=λ(f(x,u)+h(x)) in Ω, u∈H01(Ω), N≥2, has at least two positive solutions if λ∈(0,λ∗), a unique positive solution if λ=λ∗, and no positive solution if λ>λ∗, where Ω is the entire space or an exterior domain or an unbounded cylinder domain or the complement in a strip domain of a bounded domain. …”
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    Positive solutions of critical quasilinear elliptic problems in general domains by Filippo Gazzola

    Published 1998-01-01
    “…We prove the existence of positive solutions in bounded and unbounded domains. The proofs involve several generalizations of standard variational arguments.…”
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  9. 109

    High Performance Web of Things Architecture for the Smart Grid Domain by David Vernet, Agustín Zaballos, Ramon Martin de Pozuelo, Víctor Caballero

    Published 2015-12-01
    “…Besides, the large amount of data in the Smart Grid domain means that a high performance architectural design is able to manage concurrently the entire information processing ability. …”
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    An Energy-Domain IR NUC Method Based on Unsupervised Learning by Ting Li, Xuefeng Lai, Sheng Liao, Yucheng Xia

    Published 2025-01-01
    “…To obtain accurate blackbody temperature, emissivity, and waveband measurements, an energy-domain infrared nonuniformity method based on unsupervised learning is proposed. …”
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    A metaphorical application of the concept ‘paradigm’ to the public relations domain by Benita Steyn

    Published 2022-10-01
    “… The aim of this conceptual analysis of Kuhn’s paradigm theory was to explore whether the concept of paradigm could be applied to the public relations domain—specifically with regard to concepts such as dominant paradigm, paradigm debate, paradigm struggle and scientific revolution. …”
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    Multiple Fault Identification Method in the Frequency Domain for Rotor Systems by Nicolò Bachschmid, Paolo Pennacchi

    Published 2002-01-01
    “…A model based method for identifying multiple faults acting simultaneously on a rotor system in the frequency domain is briefly described and its robustness with regards to measuring and modelling errors is evaluated, by means of numerical simulations performed on the models of two typical power plant machines: a steam turbogenerator and a gas turbogenerator.…”
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  17. 117

    An Improved Method for Estimating the Domain of Attraction of Passive Biped Walker by Yu Wang, Heng Cao, JinLin Jiang

    Published 2019-01-01
    “…An indicator of a passive biped walker’s global stability is its domain of attraction, which is usually estimated by the simple cell mapping method. …”
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  18. 118

    The Classification of Multi-Domain Samples Based on the Cooperation of Multiple Models by Qingzeng Song, Junting Xu, Lei Ma, Ping Yang, Guanghao Jin

    Published 2022-01-01
    “…This article proposed a novel classification framework that can classify the samples of multiple domains based on the outputs of multiple models. Different from the existing methods that train single model on all domains, our framework trains multiple models on each domain. …”
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    Mind over matter: consistency monitoring and domain-specific learning by Igor Bascandziev, Adani Abutto, Caren M. Walker, Elizabeth Bonawitz

    Published 2025-02-01
    “…This finding highlights the importance of explicit consistency monitoring skills in the accumulation and expression of domain-specific understanding of the physical world, and it suggests future avenues for development and research of educational interventions that take into account the role of consistency monitoring skills in science learning.…”
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