Entire positive \(p\)-\(k\)-convex radial solutions to \(p\)-\(k\)-Hessian equations and systems

DOI10.1007/s11005-023-01642-6OpenAlexW4318832713MaRDI QIDQ2689097

Xuemei Zhang, Shikun Kan

Publication date: 9 March 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-023-01642-6

zbMATH Keywords

existencemonotone iterationentire solution\(p\)-\(k\)-Hessian equation and system

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Entire solutions to PDEs (35B08) Monge-Ampère equations (35J96) Elliptic equations and elliptic systems (35Jxx)

Related Items (3)

Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations ⋮ Eigenvalue problems for singular \(p\)-Monge-Ampère equations ⋮ Uniqueness theorem for negative solutions of fully nonlinear elliptic equations in a ball

Cites Work

• On the inequality \(\Delta u \geqq f (u)\)
• Existence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weights
• Entire large solutions of semilinear elliptic equations of mixed type
• Entire solutions of the inequality div\((A| Du|)Du\geqq f(u)\)
• Hessian measures. II
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• The eigenvalue problem of a singular \(k\)-Hessian equation
• Necessary and sufficient conditions of entire subsolutions to Monge-Ampère type equations
• Existence and asymptotic behaviour of entire large solutions for \(k\)-Hessian equations
• Existence and nonexistence of entire \(k\)-convex radial solutions to Hessian type system
• Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator
• A necessary and a sufficient condition for the existence of the positive radial solutions to Hessian equations and systems with weights
• On stable entire solutions of semi-linear elliptic equations with weights
• On solutions of δu=f(u)
• Necessary and sufficient conditions on solvability for Hessian inequalities
• On a power-type coupled system of k-Hessian equations
• Necessary and sufficient conditions on global solvability for the p-k-Hessian inequalities

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