New results of coupled system of \(k\)-Hessian equations
type: Item
instance of: scholarly article
title: New results of coupled system of \(k\)-Hessian equations
zbMATH Open document ID: 1412.35075
published in: Applied Mathematics Letters
publication date: 2019-04-26T00:00:00Z
Mathematics Subject Classification ID: 35G60
Mathematics Subject Classification ID: 35J96
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7048205
zbMATH Keywords: singular weight function
zbMATH Keywords: nontrivial radial solutions
zbMATH Keywords: generalized Krasnoselskii's theorem
author: Meiqiang Feng
MaRDI profile type: Publication
full work available at URL: j.aml.2019.03.008
OpenAlex ID: W2921647227
cites work: Q5758550
cites work: Q4300995
cites work: On the Symmetry of Solutions to a k-Hessian Type Equation
cites work: Upper bounds for the eigenvalues of Hessian equations
cites work: Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights
cites work: Boundary behavior of \(k\)-convex solutions for singular \(k\)-Hessian equations
cites work: Bifurcation and admissible solutions for the Hessian equation
cites work: Weighted eigenvalue problems for Hessian equations
cites work: A Bernstein type theorem for parabolic \(k\)-Hessian equations
cites work: Necessary and sufficient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains
cites work: Critical dimension of a Hessian equation involving critical exponent and a related asymptotic result
cites work: A variational theory of the Hessian equation
cites work: Existence of multiple solutions to the equations of Monge-Ampère type
cites work: On the blow-up boundary solutions of the Monge-Ampére equation with singular weights
cites work: The Monge-Ampère equation with infinite boundary value
cites work: On singular boundary value problems for the Monge-Ampère operator
cites work: Boundary behavior of large solutions to the Monge-Ampère equations with weights
cites work: Existence and non-existence of solutions for a class of Monge-Ampère equations
cites work: Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation
cites work: Quasilinear elliptic equations with critical exponents
cites work: Bounded solutions of a \(k\)-Hessian equation in a ball
cites work: Uniqueness theorems for negative radial solutions of \(k\)-Hessian equations in a ball
cites work: Existence of radial solutions to biharmonic \(k\)-Hessian equations
cites work: Convex Solutions of systems of Monge-Amp\`ere equations
cites work: On a power-type coupled system of Monge-Ampère equations
cites work: A vector version of Krasnosel'skiĭ's fixed point theorem in cones and positive periodic solutions of nonlinear systems
DOI: 10.1016/J.AML.2019.03.008
Recommended article: A coupled system of k‐Hessian equations
Recommended article: On the solutions to weakly coupled system of \(\boldsymbol{k_i}\)-Hessian equations
Recommended article: On a power-type coupled system of k-Hessian equations
Recommended article: New exact solutions to a solutions to a system of coupled KdV equations
Recommended article: New exact solutions to the generalized coupled Hirota--Satsuma KdV system
Recommended article: New results and applications on the existence results for nonlinear coupled systems
Recommended article: The existence and multiplicity of \(k\)-convex solutions for a coupled \(k\)-Hessian system
Recommended article: New general solutions for the general elliptic and auxiliary equations and application to the coupled KdV equation
Recommended article: Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system
Recommended article: Q3380876
description: scientific article; zbMATH DE number 7048205