Results 71 to 80 of about 42,019 (263)

On equivariant $p$-harmonic maps

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1998
In the first section of this paper we study the Dirichlet problem for equivariant (rotationally symmetric) p -harmonic maps from the Euclidean ball B^m to the closed upper ellipsoid E^m_+ (b)
openaire   +2 more sources

Thalamo‐Lesional Connectivity Signatures of Bilateral Tonic–Clonic Seizures in Focal Cortical Dysplasia‐Related Epilepsy

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie   +8 more
wiley   +1 more source

Twistor Interpretation of Harmonic Spheres and Yang–Mills Fields

open access: yesMathematics, 2015
We consider the twistor descriptions of harmonic maps of the Riemann sphere into Kähler manifolds and Yang–Mills fields on four-dimensional Euclidean space.
Armen Sergeev
doaj   +1 more source

Integration of Serum Neurofilament Light Chain and Cortical Dysfunction Improves Diagnostic Accuracy in ALS

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether integration of serum neurofilament light chain (NfL) and cortical dysfunction improves diagnostic accuracy in amyotrophic lateral sclerosis (ALS) when applied alongside the Gold Coast criteria (GCC). Methods In this prospective study, 148 participants with suspected ALS were recruited (101 ALS and 47 with ALS ...
Aicee Dawn Calma   +16 more
wiley   +1 more source

The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds

open access: yesJournal of Mathematics
In this paper, first we prove a nonexistence theorem for α-harmonic mappings between Riemannian manifolds. Second, the instability of nonconstant α-harmonic maps is studied with regard to the Ricci curvature criterion of their codomain. Then, we estimate
Amir Shahnavaz   +2 more
doaj   +1 more source

On the elliptic harmonic mappings and sense-preserving harmonic mappings

open access: yesMonatshefte für Mathematik
In this paper, we first establish two versions of Landau-Bloch type theorem for $(K,K')$-elliptic harmonic mappings with a bounded minimum distortion. Next, we provide several coefficient estimates and a conjecture for $(K,K')$-elliptic harmonic mappings.
Ming-Sheng Liu, Hao Xu
openaire   +3 more sources

Integrated PANoptosis Profiling Identifies Immunosuppressive Subtypes and a Prognostic Signature With Functional Validation of MLKL in Glioblastoma

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The prognosis of glioblastoma (GBM) remains highly unfavorable, largely due to high tumor heterogeneity and an immunosuppressive microenvironment. However, the functional role of PANoptosis in this context is poorly understood. Methods Patients were stratified via K‐means clustering. A risk score model was constructed using prognosis‐
Langfei Tian   +6 more
wiley   +1 more source

An epsilon-regularity result for generalized harmonic maps into spheres

open access: yesElectronic Journal of Differential Equations, 2003
For $m,n ge 2$ and $1 < p < 2$, we prove that a map $u in W_mathrm{loc}^{1,p}(Omega,mathbb{S}^{n - 1})$ from an open domain $Omega subset mathbb{R}^m$ into the unit $(n - 1)$-sphere, which solves a generalized version of the harmonic map equation, is ...
Roger Moser
doaj  

Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil4

open access: yesMathematics
This study considers a left-invariant Riemannian metric g on the Lie group Nil4. We introduce a Ricci solitons’ classification on (Nil4,g). These are expansive non-gradient Ricci solitons.
Yanlin Li   +2 more
doaj   +1 more source

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