Results 1 to 10 of about 7,459 (148)

Gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces and applications [PDF]

Heliyon, 2019
In this paper local and global gradient estimates are obtained for positive solutions to the following nonlinear elliptic equationΔfu+p(x)u+q(x)uα=0, on complete smooth metric measure spaces (MN,g,e−fdv) with ∞-Bakry-Émery Ricci tensor bounded from below,
Abimbola Abolarinwa, Sulyman O. Salawu, Clement A. Onate   +2 more
doaj   +2 more sources

A clinical model for highly accurate prediction of blood glucose depression after continuous intravenous insulin therapy in hyperglycemic emergencies, a multicenter retrospective cohort study. [PDF]

J Diabetes Investig
This study developed a clinical model using a gradient boosting decision tree (GBDT) to predict blood glucose reduction (ΔGlu) after continuous intravenous insulin therapy in hyperglycemic emergencies. A multicenter retrospective cohort analysis identified key predictive factors, including initial blood glucose, bicarbonate concentration, insulin flow ...
Iwamoto Y, Kimura T, Shimoda M, Morimoto Y, Dan K, Iwamoto H, Sanada J, Fushimi Y, Katakura Y, Isobe H, Tatsumi F, Kimura Y, Kawasaki F, Yamabe M, Matsuki M, Nakanishi S, Mune T, Kaku K, Kaneto H.   +18 more
europepmc   +2 more sources

Metabolic Origin, Role and Fate of the Denaturant Guanidine. [PDF]

Microb Biotechnol
The origin of metabolic guanidine is largely a mystery. We suggest it is created when guanine‐containing nucleotides are oxidised by molecular oxygen instead of being broken down into urea as purines normally would. Guanidine may act as a signal to help cells control the level of reactive oxygen species.
Danchin A, de Lorenzo V, Nikel PI, You C.   +3 more
europepmc   +2 more sources

On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow

Analysis and Geometry in Metric Spaces, 2023
The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (M,g,e−ϕdVg,m)\left(M,g,{e}^{-\phi }{\rm{d}}{V}_{g},m), the ...
Ho Pak Tung, Shin Jinwoo
doaj   +2 more sources

Current status of endoscopic ultrasound in the diagnosis of intraductal papillary mucinous neoplasms. [PDF]

DEN Open
Abstract The new Kyoto guidelines for the management of intraductal papillary mucinous neoplasm (IPMN) provide evidence‐based recommendations for the diagnosis and treatment of IPMN. Endoscopic ultrasonography (EUS) is a diagnostic modality with a high spatial resolution that allows detailed observation and obtaining cyst fluid or tissue samples via ...
Ohno E, Kuzuya T, Kawabe N, Nakaoka K, Tanaka H, Nakano T, Funasaka K, Miyahara R, Hashimoto S, Hirooka Y.   +9 more
europepmc   +2 more sources

The mixed Yamabe problem for harmonic foliations [PDF]

European Journal of Mathematics, 2015
The mixed scalar curvature of a foliated Riemannian manifold, i.e., an averaged mixed sectional curvature, has been considered by several geometers. We explore the Yamabe type problem: to prescribe the constant mixed scalar curvature for a foliation by a
Rovenski, Vladimir, Zelenko, Leonid
core   +3 more sources

A note on the Yamabe problem of Randers metrics [PDF]

AUT Journal of Mathematics and Computing, 2021
The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general.
Bin Chen, Siwei Liu
doaj   +1 more source

The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus

Advanced Nonlinear Studies, 2023
In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\mathbb{S}}}^{3} bounded by the Clifford torus Σ\Sigma is discussed.
Case Jeffrey S., Chen Eric, Wang Yi, Yang Paul, Yung Po-Lam   +4 more
doaj   +1 more source

Remarks on: Existence result for an elliptic equation involving critical exponent in three dimensional domains

Results in Applied Mathematics, 2021
We consider a nonlinear partial differential equation of Yamabe-type. In Boucheche (2019), it has been proved that the problem admits a solution under the assumption that the gradient of the associated variational functional is lower bounded by a ...
Khadijah Sharaf
doaj   +1 more source

Monopole metrics and the orbifold Yamabe problem [PDF]

, 2010
We consider the self-dual conformal classes on n#CP^2 discovered by LeBrun. These depend upon a choice of n points in hyperbolic 3-space, called monopole points.
Viaclovsky, Jeff
core   +2 more sources