Results 1 to 10 of about 279 (142)

Discrete Yamabe Problem for Polyhedral Surfaces. [PDF]

Discrete Comput Geom, 2023
AbstractWe study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity.
Dal Poz Kouřimská H.
europepmc   +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

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

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

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

Compactness of solutions to the Yamabe problem. II [PDF]

Calculus of Variations and Partial Differential Equations, 2005
We study compactness of solutions to the Yamabe problem on Riemannian manifolds which are not locally conformally flat.
Yanyan Li
exaly   +6 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

A Multiplicity Result for the Yamabe Problem on Sn

Journal of Functional Analysis, 1999
Le but de l'article est de mettre en évidence des variétés riemanniennes compactes pour lesquelles le problème de Yamabe admet plusieurs solutions. Partant de la sphère les auteurs considèrent une perturbation \(g= g_0+ \varepsilon f\) de la métrique canonique \(g_0\).
Andrea Malchiodi, Antonio Ambrosetti
exaly   +2 more sources