Results 11 to 20 of about 4,703 (266)

Reduced Dynamic Modeling for Heavy-Duty Hydraulic Manipulators With Multi-Closed-Loop Mechanisms

open access: yesIEEE Access, 2020
A reduced dynamic modeling approach is introduced to systematically establish explicit closed-form dynamic equations for the main motion system of a heavy-duty hydraulic manipulator with multi-closed-loop mechanisms.
Yi Zhang, Wenhua Ding, Hua Deng
doaj   +1 more source

Prognostic significance of tumor microenvironment assessed by machine learning algorithm in surgically resected non‐small cell lung cancer

open access: yesCancer Reports, EarlyView., 2023
Abstract Background A methodology to assess the immune microenvironment (IME) of non‐small cell lung cancer (NSCLC) has not been established, and the prognostic impact of IME factors is not yet clear. Aims This study aimed to assess the IME factors and evaluate their prognostic values. Methods and Results We assessed CD8+ tumor‐infiltrating lymphocyte (
Yukihiro Terada   +16 more
wiley   +1 more source

Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type

open access: yesBoundary Value Problems, 2021
First, the symmetry of classical solutions to the Monge–Ampère-type equations is obtained by the moving plane method. Then, the existence and nonexistence of radial solutions in a ball are got from the symmetry results.
Limei Dai, Huihui Cheng, Hongfei Li
doaj   +1 more source

Gradient estimate of the solutions to Hessian equations with oblique boundary value

open access: yesAdvanced Nonlinear Studies, 2022
In this paper, we study Hessian equations with the prescribed contact angle boundary value or oblique derivative boundary value and finally derive the a priori global gradient estimate for the admissible solutions.
Wang PeiHe
doaj   +1 more source

Local solvability of the k-Hessian equations [PDF]

open access: yesScience China Mathematics, 2016
In this work, we study the existence of local solutions in $\mathbb{R}^{n}$ to $k$-Hessian equation,for which the nonhomogeneous term $f$ is permitted to change the sign or be non negative; if $f$ is $C^\infty,$ so is the local solution. We also give a classification for the second order polynomial solutions to the $k-$Hessian equation, it is the basis
Tian, Guji, Wang, Qi, Xu, Chao-Jiang
openaire   +5 more sources

On the Hessian-cscK equations

open access: yesMathematische Zeitschrift, 2023
In this paper, we propose a coupled system of complex Hessian equations which generalizes the equation for constant scalar curvature Kähler (cscK) metrics. We show this system can be realized variationally as the Euler-Lagrange equation of a Hessian version of the Mabuchi K-energy in an infinite dimensional space of $k$-Hessian potentials, which can be
Guo, Bin, Smith, Kevin, Tong, Freid
openaire   +3 more sources

Asymptotic mean-value formulas for solutions of general second-order elliptic equations

open access: yesAdvanced Nonlinear Studies, 2022
We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and ...
Blanc Pablo   +3 more
doaj   +1 more source

Hessian equations of Krylov type on compact Hermitian manifolds

open access: yesOpen Mathematics, 2022
In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
doaj   +1 more source

Unilateral Global Interval Bifurcation for the Hessian Equation and Its Applications

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, we establish a unilateral global bifurcation result from the interval for the k-Hessian equations with nondifferentiable nonlinearity. By applying the above result, we shall prove the existence of the principal half-eigenvalues for the ...
Wenguo Shen
doaj   +1 more source

On the regularity of the complex Hessian equation [PDF]

open access: yesProceedings of the American Mathematical Society, 2022
This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the m m
Åhag, Per, Czyż, Rafał
openaire   +4 more sources

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