Global structure of admissible solutions for the \(k\)-Hessian equation on bounded domain
type: Item
instance of: scholarly article
title: Global structure of admissible solutions for the \(k\)-Hessian equation on bounded domain
author: Guowei Dai
author: Hua Luo
published in: Applied Mathematics Letters
publication date: 2018-06-21T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 6892655
zbMATH Keywords: bifurcation
zbMATH Keywords: admissible solution
zbMATH Keywords: Hessian equation
MaRDI profile type: Publication
full work available at URL: j.aml.2018.04.022
OpenAlex ID: W2799995132
cites work: Global bifurcation problems associated with \(k\)-Hessian operators
cites work: The Monge-Ampère equation and its applications
cites work: The Yamabe problem for higher order curvatures
cites work: The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
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: Bifurcation and admissible solutions for the Hessian equation
cites work: Hessian Equations with Elementary Symmetric Functions
cites work: Elliptic partial differential equations of second order
cites work: The Dirichlet problem for Hessian equations on Riemannian manifolds
cites work: The Dirichlet Problem for Degenerate Hessian Equations
cites work: Hessian equations with infinite Dirichlet boundary
cites work: Potential estimates for a class of fully nonlinear elliptic equations.
cites work: Quasilinear and Hessian equations of Lane-Emden type
cites work: On the Hessian of a function and the curvature of its graph
cites work: Isoperimetric inequalities for quermassintegrals
cites work: On the Dirichlet problem for Hessian equations
cites work: On new isoperimetric inequalities and symmetrization.
cites work: Weak solutions of hessian equations
cites work: Hessian measures. I
cites work: A Poincaré type inequality for Hessian integrals
cites work: Hessian measures. II
cites work: Hessian measures. III
cites work: On locally convex hypersurfaces with boundary
cites work: On symmetrization and Hessian equations
cites work: Remarks on critical exponents for Hessian operators
cites work: Hessian estimates for the sigma‐2 equationin dimension 3
cites work: Q4300995
cites work: On the Existence of Positive Solutions of Semilinear Elliptic Equations
cites work: On bifurcation from infinity
cites work: Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros
cites work: Q3247607
DOI: 10.1016/J.AML.2018.04.022
description: scientific article; zbMATH DE number 6892655