The existence and multiplicity of \(k\)-convex solutions for a coupled \(k\)-Hessian system
From MaRDI portal
Publication:6068779
DOI10.1007/s10473-023-0618-1OpenAlexW4388410280MaRDI QIDQ6068779
Jing-jing Wang, Xingyue He, Chenghua Gao
Publication date: 13 November 2023
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10473-023-0618-1
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bounded solutions of a \(k\)-Hessian equation in a ball
- Local solvability of the \(k\)-Hessian equations
- On a power-type coupled system of Monge-Ampère equations
- Existence and multiplicity for negative solutions of \(k\)-Hessian equations
- Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior
- Convex solutions of boundary value problem arising from Monge-Ampère equations
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Hessian measures. I
- Boundary blow-up problems for Hessian equations
- `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
- Global structure of admissible solutions for the \(k\)-Hessian equation on bounded domain
- New results of coupled system of \(k\)-Hessian equations
- Boundary behavior of \(k\)-convex solutions for singular \(k\)-Hessian equations
- Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior
- Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations
- The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general \(k\)-Hessian equations
- On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights
- The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation
- Bifurcation and admissible solutions for the Hessian equation
- A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights
- \(C^{1,1}\) solution of the Dirichlet problem for degenerate \(k\)-Hessian equations
- Uniqueness theorems for negative radial solutions of \(k\)-Hessian equations in a ball
- Isoperimetric estimates for eigenfunctions of Hessian operators
- Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations
- A coupled system of k‐Hessian equations
- On a power-type coupled system of k-Hessian equations
- A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator
- Three radially symmetric k-admissible solutions for k-Hessian equation
- On radial solutions for Monge–Ampère equations
- Convexity and asymptotic estimates for large solutions of Hessian equations
This page was built for publication: The existence and multiplicity of \(k\)-convex solutions for a coupled \(k\)-Hessian system