Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights

DOI10.1016/J.AML.2020.106964zbMath1465.35073OpenAlexW3117548849MaRDI QIDQ5918260

Xinqiu Zhang, Li Shan Liu

Publication date: 27 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106964

zbMATH Keywords

boundary blow-up\(k\)-Hessian equation\(k\)-convex solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with the logarithmic nonlinearity and singular weights ⋮ Radial symmetry and monotonicity of the positive solutions for \(k\)-Hessian equations

Cites Work

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• The k-Hessian Equation
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The dirichlet problem for a class of fully nonlinear elliptic equations
• Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights

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