Existence and multiplicity of radial solutions for a \(k\)-Hessian system
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Publication:2122182
DOI10.1016/J.JMAA.2022.126159zbMath1489.35090OpenAlexW4220701124MaRDI QIDQ2122182
Publication date: 6 April 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126159
Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)
Related Items (8)
Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system ⋮ Existence and multiplicity of radially symmetric \(k\)-admissible solutions for a \(k\)-Hessian equation ⋮ Existence of \(k\)-convex solutions for the \(k\)-Hessian equation ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ Existence results for the \(k\)-Hessian type system with the gradients via \(\mathbb{R}_+^n\)-monotone matrices ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Radial symmetry and monotonicity of the positive solutions for \(k\)-Hessian equations
Cites Work
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- Large solutions to semi-linear elliptic systems with variable exponents
- Monge-Ampère equation on exterior domains
- On polyharmonic regularizations of \(k\)-Hessian equations: variational methods
- Over-determined problems for \(k\)-Hessian equations in ring-shaped domains
- Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
- Existence and non-existence of solutions for a class of Monge-Ampère equations
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Polyharmonic \(k\)-Hessian equations in \(\mathbb{R}^N\)
- Solutions with radial symmetry for a semilinear elliptic system with weights
- New results of coupled system of \(k\)-Hessian equations
- On Monge-Ampère equations with nonlinear gradient terms -- infinite boundary value problems
- The eigenvalue problem of a singular \(k\)-Hessian equation
- 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
- Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator
- On a singular \(k\)-Hessian equation
- Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation
- The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation
- A variational approach to complex Hessian equations in \(\mathbb{C}^n\)
- A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights
- Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior
- A vector version of Krasnosel'skiĭ's fixed point theorem in cones and positive periodic solutions of nonlinear systems
- Existence for a \(k\)-Hessian equation involving supercritical growth
- Necessary and sufficient conditions on solvability for Hessian inequalities
- Convex Solutions of systems of Monge-Amp\`ere equations
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Existence and multiplicity of positive solutions for elliptic systems
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