Results 51 to 60 of about 4,703 (266)

Complex Hessian Equations on Some Compact Kähler Manifolds

International Journal of Mathematics and Mathematical Sciences, 2012
On a compact connected 2m-dimensional Kähler manifold with Kähler form ω, given a smooth function f:M→ℝ and an integer ...
Asma Jbilou
doaj   +1 more source

Singular solutions to conformal Hessian equations

Chinese Annals of Mathematics, Series B, 2017
We show that for any $ε\in ]0,1[$ there exists an analytic outside zero solution to a uniformly elliptic conformal Hessian equation in a ball $B\subset\R^5$ which belongs to $C^{1,ε} (B)\setminus C^{1,ε+} (B)$.
Nadirashvili, Nikolai, Vlăduţ, Serge
openaire   +3 more sources

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

Local Integral Estimates for Quasilinear Equations with Measure Data

The Scientific World Journal, 2016
Local integral estimates as well as local nonexistence results for a class of quasilinear equations -Δpu=σP(u)+ω for p>1 and Hessian equations Fk-u=σP(u)+ω were established, where σ is a nonnegative locally integrable function or, more generally, a ...
Qiaoyu Tian, Shengzhi Zhang, Yonglin Xu, Jia Mu   +3 more
doaj   +1 more source

Multi-order analytical solving computation of rainstorm causal decomposition during typhoons using a designed key–lock quasi-Newton optimizing derivation

Heliyon, 2023
To precisely identify multi-dimensional spatiotemporal rain-making parameters, generate an approximate Hessian matrix, and solve the nonlinear ill-posed problem, this study uses composite logical tangent hyperbolic functions to construct the rain ...
Chien-Lin Huang, Nien-Sheng Hsu, Chun-Hao Yao, Wei-Chun Lo   +3 more
doaj   +1 more source

The k-Hessian Equation

, 2009
Abstract The k-Hessian is the k-trace, or the kth elementary symmetric polynomial of eigenvalues of the Hessian matrix. When k ≥ 2, the k-Hessian equation is a fully nonlinear partial differential equations. It is elliptic when restricted to k-admissible functions. In this paper we establish the existence and regularity of k-admissible solutions to the
Gursky, Matthew, Lanconelli, Ermanno, Malchiodi, Andrea, Tarantello, Gabriella, Wang, Xu-Jia, Yang, Paul   +5 more
openaire   +2 more sources

First Evidence for Ozonido‐TMC Complexes of Iron and Cobalt

Angewandte Chemie International Edition, EarlyView.
Reaction of ozone with iron(II) complexes [(TMC)Fe(OTf)]BArF, [(D12‐TMC)Fe(OTf)]BArF, and cobalt(II) complexes [(TMC)Co(OTf)]BArF, [(D12‐TMC)Co(X)]BArF (X = OTf, F) gives ozonido and oxido complexes at temperatures as low as –155°C in a 4:1 mixture of 2‐Me‐THF and THF. ABSTRACT We present compelling evidence for the first Fe‐ and Co‐ozonido complexes: [
Stefan Schaub, Dennis Gerbig, Raffael C. Wende, Heike Hausmann, Jonathan Becker, Christian Würtele, Laura Senft, Ina Kellner, Gunasekaran Velmurugan, Marion Kerscher, Ivana Ivanović‐Burmazović, Peter Comba, Joshua Telser, Peter R. Schreiner, Siegfried Schindler   +14 more
wiley   +1 more source

From Charge‐Transfer Adducts to (Tri)Halide‐Templated Supramolecular Cages: Covalent vs Ionic Products in the Reactions of Pyridin‐4‐ylthio‐Substituted Tetrathiafulvalene With Dihalogens and Interhalogens

Chemistry – A European Journal, EarlyView.
The reactions between tetra(pyridin‐4‐ylthio)tetrathiafulvalene and Br2/I2/ICl/IBr led to a variety of products, including a rare example of neutral 1:4 CT adduct and ionic products showing supramolecular cage motifs at (tri)halide templates. The nature of the reaction products was elucidated based on XRD analysis, Raman spectroscopy and QTAIM, NCI ...
Anna Caria, Stéphane A. Baudron, M. Carla Aragoni, Vito Lippolis, Anna Pintus, Enrico Podda, Massimiliano Arca   +6 more
wiley   +1 more source

Nonparametric maximum likelihood estimation of the survival function using current lifetime data

Canadian Journal of Statistics, EarlyView.
Abstract An issue when estimating the failure time survival function is how to set up a prevalent cohort study infrastructure to follow subjects after enrollment. This problem can be circumvented through the well‐known Grenander density estimator using current lifetime observations only.
James H. McVittie, Masoud Asgharian
wiley   +1 more source

A fast robust numerical continuation solver to a two‐dimensional spectral estimation problem

IET Control Theory & Applications, 2022
This paper presents a fast algorithm to solve a spectral estimation problem for two‐dimensional random fields. The latter is formulated as a convex optimization problem with the Itakura‐Saito pseudodistance as the objective function subject to the ...
Bin Zhu, Jiahao Liu
doaj   +1 more source