Existence and multiplicity of radially symmetric \(k\)-admissible solutions for Dirichlet problem of \(k\)-Hessian equations

DOI10.1515/ms-2022-0008zbMath1497.34041OpenAlexW4212979007MaRDI QIDQ2076552

Liangying Miao, Zhiqian He

Publication date: 22 February 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2022-0008

zbMATH Keywords

multiplicityLeggett-Williams' fixed point theoremadmissible solution\(k\)-Hessian equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (1)

Existence and multiplicity of radially symmetric \(k\)-admissible solutions for a \(k\)-Hessian equation

Cites Work

• Unnamed Item
• Unnamed Item
• Bounded solutions of a \(k\)-Hessian equation in a ball
• Multiplicity of positive radial solutions of a singular mean curvature equation in Minkowski space
• Existence and multiplicity for negative solutions of \(k\)-Hessian equations
• Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source
• Remarks on critical exponents for Hessian operators
• Convex solutions of boundary value problem arising from Monge-Ampère equations
• On a Monge-Ampère equation arising in geometric optics
• Multiple positive solutions of some boundary value problems
• New results of coupled system of \(k\)-Hessian equations
• Gauss curvature flow: The fate of the rolling stones
• A Liouville-Gelfand equation for \(k\)-Hessian operators
• Multiplicity of positive radial solutions of singular Minkowski-curvature equations
• Convex solutions of boundary value problems
• Bifurcation and admissible solutions for the Hessian equation
• Uniqueness theorems for negative radial solutions of \(k\)-Hessian equations in a ball
• Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations
• Three radially symmetric k-admissible solutions for k-Hessian equation

This page was built for publication: Existence and multiplicity of radially symmetric \(k\)-admissible solutions for Dirichlet problem of \(k\)-Hessian equations