Results 51 to 60 of about 5,752 (197)

Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

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, Xinguang Zhang, Lishan Liu, Yonghong Wu   +3 more
doaj   +1 more source

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
openaire   +4 more sources

The Sobolev inequality for complex Hessian equations

, 2015
In this paper, we study the complex Hessian equations by an gradient flow method. We prove a Sobolev inequality for k-plurisubharmonic functions analogous to that for real Hessian equations (Wang in Indiana Univ Math J 43:25-54, 1994; Lecture Notes in ...
Zhou, Bin
core   +1 more source

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

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

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

Computing quantities of interest for random domains with second order shape sensitivity analysis [PDF]

, 2014
We consider random perturbations of a given domain. The characteristic amplitude of these perturbations is assumed to be small. We are interested in quantities of interest which depend on the random domain through a boundary value problem.
Marc Dambrine, Bénédicte Puig, Dambrine, Marc, Puig, Benedicte, Helmut Harbrecht, Harbrecht, Helmut   +5 more
core   +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

On Liouville-type theorems for k-Hessian equations with gradient terms

, 2023
In this thesis, we examine solutions/sub-solutions to k-Hessian equations with gradient terms on all of Rn. We show under specific conditions when such equa-tions admit only trivial solutions, as well as when such solutions are nontrivial.
Doerr, Cameron
core