Results 91 to 100 of about 13,144,199 (261)
Bounded solutions of a k -Hessian equation involving a weighted nonlinear source
Journal of Differential Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sánchez, Justino, Vergara, Vicente
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Existence of solutions for a $k$-Hessian equation and its connection with self-similar solutions
, 2023 Let $\alpha,\beta$ be real parameters and let $a>0$. We study radially symmetric solutions of \begin{equation*} S_k(D^2v)+\alpha v+\beta \xi\cdot\nabla v=0,\, v>0\;\; \mbox{in}\;\; \mathbb{R}^n,\; v(0)=a, \end{equation*} where $S_k(D^2v)$ denotes the $k$-
Sánchez, Justino
core
SUBSOLUTION THEOREM FOR THE COMPLEX HESSIAN EQUATION [PDF]
, 2012 We prove the subsolution theorem for a complex Hessian equation in a smoothly bounded strongly m-pseudoconvex domain in $\bbb{C}^n$
Nguyen, Ngoc Cuong +2 more
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Unbiased fully nonlinear data assimilation. Part 1: The stochastic particle flow filter
Quarterly Journal of the Royal Meteorological Society, EarlyView.While the existing deterministic particle flow filter (PFF) has been applied successfully to nonlinear high‐dimensional systems, it tends to underestimate ensemble spread when using a small number of particles. We introduce the stochastic particle flow filter (SPFF), which incorporates an additional Gaussian noise term into the particle flow dynamics ...
Hao‐Lun Yeh, Peter Jan van Leeuwen
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Radial symmetric solution of complex Hessian equation in the unit ball
, 2013 In this note, by using fixed point theorems, we show the existence of a radial symmetric solutions for certain k-complex Hessian equation in the unit ball.
Dieu N.Q., Dung N.T.
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Unbiased fully nonlinear data assimilation. Part 2: The stochastic particle flow smoother
Quarterly Journal of the Royal Meteorological Society, EarlyView.Building on the stochastic particle flow filter (SPFF) introduced in Part 1, we introduce a new smoother—the stochastic particle flow smoother (SPFS)—for high‐dimensional, nonlinear data assimilation. We examine two backward‐propagation strategies for the smoother, including an exact adjoint model, which allows particles to capture multimodal ...
Hao‐Lun Yeh, Peter Jan van Leeuwen
wiley +1 more source
Second order estimates for convex solutions of degenerate k-Hessian equations
Journal of Functional AnalysisThe $C^{1,1}$ estimate of the Dirichlet problem for degenerate $k$-Hessian equations with non-homogenous boundary conditions is an open problem, if the right hand side function $f$ is only assumed to satisfy $f^{1/(k-1)} \in C^{1,1}$. In this paper, we solve this problem for convex solutions defined in the strictly convex bounded domain.
Heming Jiao, Zhizhang Wang
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Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo +3 more
wiley +1 more source
A Liouville theorem for radial \(k\)-Hessian equations
Rendiconti di Matematica e delle Sue Applicazioni, 1997 The paper deals with the \(k\)-Hessian equation \(S_k(D^2u)= f(u)\) in a ball \(B\) of \(\mathbb{R}^n\), where \(S_k(D^2u)\) denotes the \(k\)-th elementary symmetric function of the eigenvalues of the Hessian matrix \(D^2u\). The main result is the construction of a special functional \(P(u,r)\) involving the solution \(u(x)\) of the equation as well ...
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Material Heterogeneity and Waste‐Trade Networks in EU‐27 Circular‐Economy Convergence
Sustainable Development, EarlyView.ABSTRACT EU monitoring summarizes circular‐economy progress with aggregate indicators, although material‐specific adjustment and cross‐border secondary‐resource links may follow different paths. This study examines convergence across the EU‐27, heterogeneity among biomass, metal ores, non‐metallic minerals, and fossil‐energy materials, and network ...
Pan Jiang, Shuaiyi Lu, Lianghan Cong
wiley +1 more source