Results 31 to 40 of about 120,054 (119)
Elliptic-equations and steiner symmetrization
We present a new proof of comparison results via Steiner symmetrization for solutions of elliptic equations. This proof relies upon a "level sets" argument.Depto. de Análisis Matemático y Matemática AplicadaFac.
Lions, P.L. +3 more
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Anisotropic symmetrization [PDF]
The partial anisotropic symmetrization is defined, extending Steiner symmetrization and convex symmetrization. Inequalities of the type of Hardy-Littlewood, Polya-Szego and Klimov are proved for this symmetrization, while it is shown that Riesz-Sobolev ...
Van Schaftingen, Jean
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In this study, we propose a multiscale spatiotemporal causal mapping (MSTCM) algorithm integrating multiscale functional connectivity and delay‐aware causal inference. Applied to resting‐state fMRI data, MSTCM reveals that taVNS reorganizes large‐scale brain networks by enhancing global integration efficiency while shifting information processing from ...
Weiyi Wang +5 more
wiley +1 more source
Poincaré inequalities and Steiner symmetrization
The domain \(\Omega\subset\mathbb{R}^n\) is said to be a \(p\)-Poincaré domain, \(1\leq pn-1\). The authors give also a more restricted class of Steiner symmetric domains for which the characterization remains valid for all \(p>1\).
Koskela, Pekka, Stanoyevitch, Alexander
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Covariance Estimation for Wide Data
Covariance matrix estimation is fundamental to multivariate analysis, with applications spanning finance, genomics, climate science, and signal processing. This review synthesizes recent advances in high‐dimensional covariance estimation‐thresholding, linear and nonlinear shrinkage, graphical models, and random matrix theory‐under a unifying framework ...
Eran Raviv
wiley +1 more source
Fractional clique decompositions of dense hypergraphs
Abstract In 2014, Keevash famously proved the existence of (n,q,r)$(n,q,r)$‐Steiner systems as part of settling the Existence Conjecture of Combinatorial Designs (dating from the mid‐1800s). In 2020, Glock, Kühn, and Osthus conjectured a minimum degree generalization: specifically that minimum (r−1)$(r-1)$‐degree at least (1−Cqr−1)n$(1-\frac{C}{q^{r-1}}
Michelle Delcourt +2 more
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Stability and Rate of Convergence of the Steiner Symmetrization [PDF]
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Florentin, D. I., Segal, A.
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Symmetrization and the rate of convergence of semigroups of holomorphic functions
Abstract Let (ϕt)$(\phi _t)$, t⩾0$t\geqslant 0$, be a semigroup of holomorphic self‐maps of the unit disk D$\mathbb {D}$. Let Ω$\Omega$ be its Koenigs domain and τ∈∂D$\tau \in \partial \mathbb {D}$ be its Denjoy–Wolff point. Suppose that 0∈Ω$0\in \Omega$ and let Ω♯$\Omega ^\sharp$ be the Steiner symmetrization of Ω$\Omega$ with respect to the real axis.
Dimitrios Betsakos +1 more
wiley +1 more source
Fractional Dirichlet problems with an overdetermined non‐local Neumann condition
Abstract We investigate symmetry and quantitative approximate symmetry for an overdetermined problem related to the fractional torsion equation in a regular open, bounded set Ω⊆Rn$\Omega \subseteq \mathbb {R}^n$. Specifically, we show that if Ω¯$\overline{\Omega }$ has positive reach and the non‐local normal derivative introduced in Dipierro, Ros‐Oton ...
Michele Gatti +2 more
wiley +1 more source
Estimates for the first eigenfunction of linear eigenvalue problems via Steiner symmetrization [PDF]
By means of Steiner symmetrization we get some estimates for the first eigenfunction of a class of linear problems, having as prototype the Laplacian with Dirichlet boundary ...
Francesco Chiacchio +2 more
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