Existence and asymptotic behaviour of entire large solutions for \(k\)-Hessian equations

DOI10.1007/s41808-022-00157-wzbMath1490.35021OpenAlexW4224215935MaRDI QIDQ2141794

Mohamed Ben Chrouda, Kods Hassine

Publication date: 25 May 2022

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-022-00157-w

zbMATH Keywords

existenceasymptotic behaviorradial positive solutionsentire large solutions\(k\)-Hessian operators

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Methods of ordinary differential equations applied to PDEs (35A24) Entire solutions to PDEs (35B08) Monge-Ampère equations (35J96)

Related Items (2)

Existence of entire large convex radially solutions to a class of Hessian type equations with weights ⋮ Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems

Cites Work

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• Characterization for the existence of bounded solutions to elliptic equations
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• A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations
• Large solutions of sublinear elliptic equations
• The Keller-Osserman problem for the k-Hessian operator
• Remarks on Existence of Large Solutions for p-Laplacian Equations with Strongly Nonlinear Terms Satisfying the Keller-Osserman Condition
• On solutions of δu=f(u)
• Necessary and sufficient conditions on solvability for Hessian inequalities
• Entire large solutions of semilinear equations involving the fractional Laplacian
• A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator

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