Results 51 to 60 of about 5,533,278 (165)
, 2015 We initiate the study of an analogue of the Yamabe problem for complex manifolds. More precisely, fixed a conformal Hermitian structure on a compact complex manifold, we are concerned in the existence of metrics with constant Chern scalar curvature.
Angella, Daniele +2 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
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
wiley +1 more source
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
wiley +1 more source
A compactness theorem for the Yamabe problem
Journal of Differential Geometry, 2009 In this paper, we prove compactness for the full set of solutions to the Yamabe Problem if $n\leq 24$. After proving sharp pointwise estimates at a blowup point, we prove the Weyl Vanishing The- orem in those dimensions, and reduce the compactness question to showing positivity of a quadratic form.
Khuri, M.A., Marques, F.C., Schoen, R.M.
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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
wiley +1 more source
The Yamabe Problem and Nonlinear Boundary Value Problems
Journal of Differential Equations, 1995 The paper is concerned with the scalar curvature equation with prescribed mean curvature on the boundary of a given Riemannian manifold. Just as in \textit{T. Ouyang} [Trans. Am. Math. Soc. 331, No. 2, 503-527 (1992; Zbl 0759.35021)], this Riemannian manifold is assumed to have negative constant scalar curvature in the interior and zero mean curvature ...
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2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly +3 more
wiley +1 more source
Volume comparison and the sigma_k-Yamabe problem
, 2002 In this paper we study the problem of finding a conformal metric with the property that the k-th elementary symmetric polynomial of the eigenvalues of its Weyl-Schouten tensor is constant. A new conformal invariant involving maximal volumes is defined, and this invariant is then used in several cases to prove existence of a solution, and compactness of
Gursky, Matthew J., Viaclovsky, Jeff A.
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