Bifurcation, a-priori bound and negative solutions for the complex Hessian equation
type: Item
instance of: scholarly article
title: Bifurcation, a-priori bound and negative solutions for the complex Hessian equation
DOI: 10.11948/20200120
author: Hua Luo
author: Guowei Dai
published in: Journal of Applied Analysis and Computation
publication date: 2024-09-02T00:00:00Z
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35P30
Mathematics Subject Classification ID: 53C56
zbMATH DE Number: 7905156
zbMATH Keywords: bifurcation
zbMATH Keywords: a priori bound
zbMATH Keywords: complex Hessian equation
MaRDI profile type: Publication
cites work: Q4073917
cites work: Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\)
cites work: The Dirichlet problem for a complex Monge-Ampère equation
cites work: Counterexamples to regularity for the complex Monge-Ampère equation
cites work: Weak solutions to the complex Hessian equation.
cites work: Q5665783
cites work: The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
cites work: A Dirichlet's principle for the \(k\)-Hessian
cites work: On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
cites work: Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros
cites work: Q5185568
cites work: Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
cites work: The Dirichlet problem for complex Monge-Ampère equations and regularity of the pluri-complex Green function
cites work: A priori bounds for positive solutions of nonlinear elliptic equations
cites work: Q4844833
cites work: The complex Monge-Ampère equation
cites work: Solving the degenerate complex Monge-Ampère equation with one concentrated singularity
cites work: Spectral theory and nonlinear functional analysis
cites work: Existence for a \(k\)-Hessian equation involving supercritical growth
cites work: Q3997067
cites work: Some global results for nonlinear eigenvalue problems
cites work: Asymptotic behavior of solutions of a \(k\)-Hessian evolution equation
cites work: Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
cites work: Existence and convexity of local solutions to degenerate Hessian equations
cites work: Uniqueness theorems for negative radial solutions of \(k\)-Hessian equations in a ball
cites work: Q3247607
cites work: On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
cites work: The Sobolev inequality for complex Hessian equations
description: scientific article; zbMATH DE number 7905156