Results 41 to 50 of about 7,385 (153)
Conformal metrics of constant scalar curvature with unbounded volumes
Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
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The second Yamabe invariant with boundary
Advances in Nonlinear AnalysisLet (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
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The mixed Yamabe problem for foliations [PDF]
European Journal of Mathematics, 2015 The authors show that if \(\mathcal F\) is a harmonic and nowhere totally geodesic foliation defined by an orientable bundle on a closed Riemannian manifold \((M, g)\), or if \(\mathcal F\) (\(\dim \mathcal F > 1\)) is a totally geodesic foliation defined by an orientable bundle whose normal distribution is integrable on \((M, g)\), then there exists a
Rovenski, Vladimir, Zelenko, Leonid
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The Yamabe problem on stratified spaces [PDF]
Geometric and Functional Analysis, 2014 44 ...
Akutagawa, Kazuo +2 more
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Stability Analysis of Nondifferentiable Systems
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT Differential equations with right‐hand side functions that are not everywhere differentiable are referred to as nondifferentiable systems. This paper introduces three novel methods to address stability issues in nondifferentiable systems.
Jiwoon Sim, Tianxu Wang, Hao Wang
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Case Reports in Endocrinology, Volume 2025, Issue 1, 2025.Background: Familial hypocalciuric hypercalcemia type 3 (FHH3) is a rare hereditary disorder caused by a heterozygous AP2S1 gene mutation, characterized by hypocalciuria and hypercalcemia due to impaired intracellular signal transduction of calcium (Ca)‐sensing receptors (CaSRs).
Ai Chida +12 more
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A note on extremal functions for sharp Sobolev inequalities
Electronic Journal of Differential Equations, 2007 In this note we prove that any compact Riemannian manifold of dimension $ngeq 4$ which is non-conformal to the standard n-sphere and has positive Yamabe invariant admits infinitely many conformal metrics with nonconstant positive scalar curvature on
Marcos Montenegro, Ezequiel R. Barbosa
doaj
Comprehensive Safety Assessment of Hydrogen: From Production to Application in Energy Systems
International Journal of Energy Research, Volume 2025, Issue 1, 2025.In the quest for sustainable and clean energy alternatives to fossil fuels, hydrogen emerges as a front‐runner due to its high energy yield and environmentally friendly combustion byproduct, water. This study delves into the comprehensive lifecycle of hydrogen energy, from its production through various methods, storage, and transportation, to its ...
Ahmed Nazmus Sakib +5 more
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The non-linear Dirichlet problem and the CR Yamabe problem
Le Matematiche, 1999 See directly the ...
Nicola Garofalo, dimiter Vassilev
doaj
Second Yamabe Constant on Riemannian Products [PDF]
, 2015 Let $(M^m,g)$ be a closed Riemannian manifold $(m\geq 2)$ of positive scalar curvature and $(N^n,h)$ any closed manifold. We study the asymptotic behaviour of the second Yamabe constant and the second $N-$Yamabe constant of $(M\times N,g+th)$ as $t$ goes
Henry, Guillermo
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