Bounded and blow-up solutions of \(k\)-Hessian system with augmented terms (Q6616932)

scientific article; zbMATH DE number 7924367

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English	Bounded and blow-up solutions of \(k\)-Hessian system with augmented terms	scientific article; zbMATH DE number 7924367

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instance of

scholarly article

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title

Bounded and blow-up solutions of \(k\)-Hessian system with augmented terms (English)

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Journal of Applied Analysis and Computation

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publication date

9 October 2024

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zbMATH Keywords

\(k\)-Hessian system

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blow-up solutions

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monotone iterative method

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MaRDI profile type

Publication

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cites work

Monge-Ampère equation on exterior domains

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The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian

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Solutions with radial symmetry for a semilinear elliptic system with weights

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A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights

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Existence and nonexistence of entire \(k\)-convex radial solutions to Hessian type system

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Coupled complex Monge-Ampère equations on Fano horosymmetric manifolds

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Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations

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New results of coupled system of \(k\)-Hessian equations

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Uniqueness of positive solutions for a boundary blow-up problem

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Tropical and non-Archimedean Monge-Ampère equations for a class of Calabi-Yau hypersurfaces

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Entire subsolutions of a kind of \(k\)-Hessian type equations with gradient terms

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Necessary and sufficient conditions on solvability for Hessian inequalities

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Large solutions to semi-linear elliptic systems with variable exponents

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Optimal uniqueness theorems and exact blow-up rates of large solutions

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Q4512793

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Singular solutions to \(k\)-Hessian equations with fast-growing nonlinearities

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Existence and uniqueness results for large solutions of general nonlinear elliptic equations

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Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations

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Convex Solutions of systems of Monge-Amp\`ere equations

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The k-Hessian Equation

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Existence results for the \(k\)-Hessian type system with the gradients via \(\mathbb{R}_+^n\)-monotone matrices

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Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems

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The multiplicity of radial \(k\)-convex solutions for an augmented Hessian equation

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Boundary blow-up solutions to singular \(k\)-Hessian equations with gradient terms: sufficient and necessary conditions and asymptotic behavior

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Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates

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Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior

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Boundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearity

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Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights

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The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

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Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations

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Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation

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Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior

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Existence and non-existence of solutions for a class of Monge-Ampère equations

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Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights

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Identifiers

DOI

10.11948/20230492

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6616932