Results 51 to 60 of about 1,897 (169)
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
Approximation by (Pluri) Subharmonic Functions: Fusion and Localization
Let u1 and u2 be subharmonic (plurisubharmonic) on overlapping sets K1 and K2 respectively. We seek to approximate u1 and u2 simultaneously by a single subharmonic (plurisubharmonic) function u.
P.M. Gauthier
core +1 more source
Subharmonic functions in sub-Riemannian settings [PDF]
In this paper we furnish mean value characterizations for subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution 0.
LANCONELLI, ERMANNO, BONFIGLIOLI, ANDREA
core +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
The universal family of punctured Riemann surfaces is Stein
Abstract We show that the universal Teichmüller family V(g,n)$V(g,n)$ of compact Riemann surfaces of genus g⩾0$g\geqslant 0$ with n>0$n>0$ punctures is a Stein manifold. We describe its basic function‐theoretic properties and pose some challenging questions. We show, in particular, that the space of fibrewise algebraic functions on the universal family
Franc Forstnerič
wiley +1 more source

