Results 41 to 50 of about 279 (142)
Stability Analysis of Nondifferentiable Systems
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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The non-linear Dirichlet problem and the CR Yamabe problem
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Nicola Garofalo, dimiter Vassilev
doaj
The Yamabe Problem and Nonlinear Boundary Value Problems
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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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 compactness theorem for the Yamabe problem
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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On perturbations of the fractional Yamabe problem [PDF]
The fractional Yamabe problem, proposed by González-Qing (2013, Anal. PDE) is a geometric question which concerns the existence of metrics with constant fractional scalar curvature. It extends the phenomena which were discovered in the classical Yamabe problem and the boundary Yamabe problem to the realm of nonlocal conformally invariant operators.
Choi, Woocheol, Kim, Seunghyeok
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Comprehensive Safety Assessment of Hydrogen: From Production to Application in Energy Systems
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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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 παρουσιάζουμε μία λύση του προβλήματος για διάσταση 2 χρησιμοποιόντας μεθόδους επιφανειών Riemann ...
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On a fully nonlinear Yamabe problem [PDF]
We solve the $σ_2$-Yamabe problem for a non locally conformally flat manifold of dimension $n>8$.
Ge, Yuxin, Wang, Guofang
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2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons
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
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