Results 1 to 10 of about 736 (175)

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   +4 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   +2 more sources

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

The Yamabe problem [PDF]

, 2023
Βασικό αντικείμενο της παρούσας διπλωματικής εργασίας είναι το πρόβλημα του Yamabe, το οποίο αφορά τη σύμμορφη παραμόρφωση μιας μέτρικής Riemann σε κάποια με σταθερή βαθμωτή καμπυλότητα. Στο Κεφάλαιο 1 κάνουμε μια ανασκόπιση του προβλήματος, και επιπλέον
Πασχάλης Μιλτιάδης, Paschalis Miltiadis   +1 more
core   +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

A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics [PDF]

Journal of Applied Mathematics, 2012
This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
doaj   +2 more sources

The second Yamabe invariant with boundary

Advances in Nonlinear Analysis
Let (M,∂M,g)\left(M,\partial M,g) be a compact Riemannian manifold with boundary. As a generalization of the Yamabe invariant with boundary Y(M,∂M,g)Y\left(M,\partial M,g), we define the kth Yamabe invariant with boundary Yk(M,∂M,g){Y}_{k}\left(M ...
Ho Pak Tung, Pyo Juncheol
doaj   +2 more sources

On the bifurcation of solutions of the Yamabe problem in product manifolds with minimal boundary

Advances in Nonlinear Analysis, 2018
In this paper, we study the multiplicity of solutions of the Yamabe problem on product manifolds with minimal boundary via bifurcation theory.
Cárdenas Diaz Elkin Dario, da Silva Moreira Ana Cláudia   +1 more
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