Results 41 to 50 of about 4,703 (266)
Weak solutions to the complex Hessian equation [PDF]
Annales de l'Institut Fourier, 2005 We investigate the class of functions associated with the complex Hessian equation ( d d c
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Analysis and Geometry in Metric SpacesIn this article, we study Liouville type theorems of fully nonlinear elliptic partial differential equations on the Heisenberg group and obtain some nonexistence results of positive solutions of Heisenberg Hessian equations (and inequalities), including ...
Chen Chuanqiang, Ma Yan
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Advanced Nonlinear Studies, 2023 We consider the asymptotic behavior of solutions to the Monge-Ampère equations with slow convergence rate at infinity and fulfill previous results under faster convergence rate by Bao et al. [Monge-Ampère equation on exterior domains, Calc. Var PDE.
Liu Zixiao, Bao Jiguang
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Advanced Engineering Materials, EarlyView.Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati +11 more
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Modifying Of Barzilai and Borwein Method for Solving Large-Scale Unconstrained Optimization Problems. [PDF]
المجلة العراقية للعلوم الاحصائية, 2007 In this paper we present a technique for computing the minimum value of an objective function in the frame of gradient descent methods based on combination of Barzilai and Borwein approximation of Hessian matrix of objective function and Lipchetz ...
Khalil K. Abbo
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Advanced Science, EarlyView.This study investigates how the internal structure of fiber‐reinforced ceramic composites affects their resistance to damage. By combining 3D X‐ray imaging with acoustic emission monitoring during mechanical testing, it reveals how silicon distribution influences crack formation.
Yang Chen +7 more
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Nonlinear Analysis, 2018 In this paper, we establish the existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations in a ball.
Jianxin He +3 more
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Intrinsic Phonons as a Dynamic Control Knob for Catalytic Reactivity in 2D Materials
Advanced Science, EarlyView.Intrinsic phonon excitations are demonstrated to serve as a dynamic control knob for catalytic reactivity in 2D materials. Mode‐selective lattice vibrations reconstruct the electronic structure, lower oxygen evolution reaction barriers, establishing a phonon‐engineering paradigm for dynamically regulating electrocatalysis beyond conventional static ...
Kai Ren +5 more
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Hessian estimates for convex solutions to quadratic Hessian equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2019 We derive Hessian estimates for convex solutions to quadratic Hessian equation by compactness argument. Résumé Nous dérivons des estimations de Hessian pour des solutions convexes à l'équation de Hessian quadratique par argument de compacité.
Matt McGonagle, Chong Song, Yu Yuan
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Advanced Intelligent Discovery, EarlyView.A machine learning method, opt‐GPRNN, is presented that combines the advantages of neural networks and kernel regressions. It is based on additive GPR in optimized redundant coordinates and allows building a representation of the target with a small number of terms while avoiding overfitting when the number of terms is larger than optimal.
Sergei Manzhos, Manabu Ihara
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