Results 41 to 50 of about 5,936 (174)

A probabilistic method for gradient estimates of some geometric flows

, 2015
In general, gradient estimates are very important and necessary for deriving convergence results in different geometric flows, and most of them are obtained by analytic methods.
Chen, Xin, Cheng, Li-Juan, Mao, Jing
core   +1 more source

Fractional Q$Q$‐curvature on the sphere and optimal partitions

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara, Juan Carlos Fernández, Alberto Saldaña   +2 more
wiley   +1 more source

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   +1 more source

A fractional Yamabe flow and some applications [PDF]

Journal für die reine und angewandte Mathematik (Crelles Journal), 2013
Abstract We introduce a fractional Yamabe flow involving nonlocal conformally invariant operators on the conformal infinity of asymptotically hyperbolic manifolds, and show that on the conformal spheres (
Jin, Tianling, Xiong, Jingang
openaire   +3 more sources

A Longitudinal Case Study of Renal Cyst Progression and Regression in Trisomy 13

Clinical Case Reports, Volume 13, Issue 9, September 2025.
Multiple T2‐weighted high‐signal‐intensity structures were observed in both kidneys accompanied by bilateral renal enlargement in a male neonate with trisomy 13. ABSTRACT Trisomy 13 is a chromosomal disorder frequently associated with congenital anomalies, including polycystic kidney disease (PKD).
Fumiko Yamabe, Takahiro Shindo, Kentaro Haneda, Yoshiyuki Namai, Yutaka Harita   +4 more
wiley   +1 more source

Gap Theorems for Locally Conformally Flat Manifolds [PDF]

, 2015
In this paper, we prove a gap result for a locally conformally flat complete non-compact Riemannian manifold with bounded non-negative Ricci curvature and a scalar curvature average condition.
Ma, Li
core  

Contrast‐Enhanced Computed Tomography/Magnetic Resonance Imaging Is Useful for Surveying Gastroesophageal Varices in Patients After Fontan Surgery

Hepatology Research, Volume 55, Issue 9, Page 1320-1326, September 2025.
The presence of gastroesophageal varices (GEVs) following Fontan surgery (FS) could not be predicted by blood biochemical indices and other clinical factors, and contrast‐enhanced CT or MRI can be useful for surveying GEVs in patients following FS. ABSTRACT Objectives Liver cirrhosis (LC) is a common complication of Fontan surgery (FS) because of the ...
Takanori Suzuki, Kentaro Matsuura, Sayuri Yamabe, Kiyomi Kayama, Tsutomu Shinohara, Keiichi Itatani, Yoshiki Okamoto, Hayato Kawamura, Kei Fujiwara, Yoshihiro Seo, Hiromi Kataoka   +10 more
wiley   +1 more source

Convergence rate of the weighted conformal mean curvature flow

Analysis and Geometry in Metric Spaces
In this article, we study the convergence rate of the following Yamabe-type flow Rϕ(t)m=0inMand∂∂tg(t)=2(hϕ(t)m−Hϕ(t)m)g(t)∂∂tϕ(t)=m(Hϕ(t)m−hϕ(t)m)on∂M{R}_{\phi \left(t)}^{m}=0\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}M\hspace ...
Hamanaka Shota, Tung Ho Pak
doaj   +1 more source

The association between additional radiotherapy after systemic chemotherapy and the prognosis of stage FIGO 2018 IVB cervical cancer

International Journal of Gynecology &Obstetrics, Volume 170, Issue 2, Page 908-915, August 2025.
Abstract Objective Systemic platinum‐based chemotherapy is the first‐line treatment of choice for metastatic cervical cancer. While subsequent radiotherapy after primary chemotherapy is a potential option, its benefit remains unclear. This multicenter retrospective study aimed to evaluate whether post‐chemotherapy radiotherapy improves the prognosis of
Ai Miyoshi, Fumiaki Isohashi, Makoto Fujii, Tadashi Iwamiya, Masahiko Takemura, Yoshikazu Nagase, Takeshi Yokoi, Emi Yoshioka, Kimihiko Ito, Eri Yamabe, Kanji Masuhara, Tomoko Tsujie, Tadashi Kimura, Michiko Kodama   +13 more
wiley   +1 more source

A Critical Examination of the Impact of Serious Games on Learning Music: A Systematic Literature Review

Journal of Computer Assisted Learning, Volume 41, Issue 3, June 2025.
ABSTRACT Background Serious games (SGs) have been increasingly utilised in various domains of education and training. These SGs are a compelling and impactful pedagogical tool that have demonstrated the potential to transform users' perspectives in a multitude of fields, including music.
Eleftheria Siklafidou, Maya Satratzemi, Stelios Xinogalos   +2 more
wiley   +1 more source