A remark on the existence of positive radial solutions to a Hessian system

DOI10.3934/math.2021811OpenAlexW3202662290MaRDI QIDQ2142966

Dragos-Patru Covei

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021811

zbMATH Keywords

existenceradial symmetrysystem with k-Hessian

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Methods of ordinary differential equations applied to PDEs (35A24) Classical solutions to PDEs (35A09)

Related Items (4)

Entire positive \(k\)-convex solutions to \(k\)-Hessian type equations and systems ⋮ Positive solutions of singular \(k_i\)-Hessian systems ⋮ A class of singular \(k_{i}\)-Hessian systems ⋮ A remark on the existence of entire large positive radial solutions to nonlinear differential equations and systems

Cites Work

• Existence and nonexistence theorem for entire subsolutions of \(k\)-Yamabe type equations
• Entire large solutions to semilinear elliptic systems
• Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
• Existence theorems for Monge-Ampère equations in \(\mathbb{R}{}^ N\)
• Existence of entire radial large solutions for a class of Monge-Ampère type equations and systems
• A remark on the existence of entire large and bounded solutions to a \((k_1,k_2)\)-Hessian system with gradient term
• Necessary and sufficient conditions on solvability for Hessian inequalities

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