Results 61 to 70 of about 1,361 (182)
Subharmonic functions, generalizations and separately subharmonic functions
First, we give the definition for quasi-nearly subharmonic functions, now for general, not necessarily nonnegative functions, unlike previously. We point out that our function class incudes, among others, quasisubharmonic functions, nearly subharmonic functions (in a slightly generalized sense) and almost subharmonic functions.
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The exterior Dirichlet problem for the homogeneous complex k-Hessian equation
In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions.
Gao Zhenghuan, Ma Xinan, Zhang Dekai
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Cohomogeneity‐one solitons in Laplacian flow: Local, smoothly‐closing and steady solitons
Abstract We initiate a systematic study of cohomogeneity‐one solitons in Bryant's Laplacian flow of closed G2$\text{G}_2$‐structures on a 7‐manifold, motivated by the problem of understanding finite‐time singularities of that flow. Here, we focus on solitons with symmetry groups Sp(2)${\rm Sp}(2)$ and SU(3)${\rm SU}(3)$; in both cases, we prove the ...
Mark Haskins, Johannes Nordström
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Best Approximation by Subharmonic Functions [PDF]
Let Ω ⊂
Wilson, J. M., Zwick, D.
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Nanotherapies for Atherosclerosis: Targeting, Catalysis, and Energy Transduction
Atherosclerosis management is hindered by poor drug targeting and plaque heterogeneity. Nanotechnology overcomes these barriers via three core strategies: (1) target‐engineered nanocarriers that achieve lesion‐specific precision via ligand modification, biomimetic camouflage, stimuli‐responsive release, and self‐propelling nanomotors; (2) catalytic ...
Yuqi Yang +4 more
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Automated Creak Identifies Laryngeal Dystonia During Conversational Speech
This study evaluated whether automated creak distinguished speakers with adductor laryngeal dystonia (AdLD), muscle tension dysphonia (MTD), and those without voice disorders during conversational speech. Automated creak estimates were able to differentiate speakers with AdLD from MTD and controls with similar performance across different types of ...
Daria A. Dragicevic +13 more
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On Non‐Compact Extended Bach Solitons
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
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Polyrhythms in the Brain: Metrical Priming, Acoustic Balance, and Perceptual Biases
This study investigates whether metrical priming modifies the neural responses to the beat of polyrhythms. After balancing the acoustic energy related to the two beat periodicities, we measured the neural activity synchronized to each primed beat using frequency tagging.
Cecilie Møller +6 more
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Boundary unique continuation in planar domains by conformal mapping
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
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Integral mean of Green’s potentials and their conjugate
The best possible estimates for Lebesgue integral means $m_q(r,F); (1le q
Vasyl'kiv, Ya. V., Kravec, M. Ya.
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