On the existence of radially symmetric solutions to \(p\)-\(k\)-Hessian equations and systems

DOI10.1007/S13324-024-00953-8zbMATH Open1547.35302MaRDI QIDQ6587509

Ling Mi, Yangyang Ji

Publication date: 14 August 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

existence of radially symmetric solutions\(p\)-\(k\)-Hessian equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Axially symmetric solutions to PDEs (35B07)

Cites Work

• Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• Entire solutions blowing up at infinity for semilinear elliptic systems.
• Hessian measures. II
• 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
• Necessary and sufficient conditions on solvability for Hessian inequalities
• On the existence of solutions to the Monge-Ampère equation with infinite boundary values
• Necessary and sufficient conditions on global solvability for the p-k-Hessian inequalities
• The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation
• A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system

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