A Liouville-Gelfand equation for \(k\)-Hessian operators

DOI10.1216/rmjm/1181069873zbMath1207.35139OpenAlexW2055638312MaRDI QIDQ1880826

Jon Jacobsen

Publication date: 1 October 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069873

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Nonlinear elliptic equations (35J60) Reaction effects in flows (76V05) Variational methods for second-order elliptic equations (35J20) Abstract bifurcation theory involving nonlinear operators (47J15)

Related Items (10)

Bounded solutions of a \(k\)-Hessian equation in a ball ⋮ Multiple solutions to Hessian equations ⋮ Sharp estimates of semistable radial solutions of k-Hessian equations ⋮ Singular solutions of elliptic equations with iterated exponentials ⋮ Existence and multiplicity for negative solutions of \(k\)-Hessian equations ⋮ Bounded solutions of a \(k\)-Hessian equation involving a weighted nonlinear source ⋮ Asymptotic behavior of solutions of a \(k\)-Hessian evolution equation ⋮ Admissible solutions to Hessian equations with exponential growth ⋮ One-dimensional prescribed mean curvature equation with exponential nonlinearity ⋮ Existence and multiplicity of radially symmetric \(k\)-admissible solutions for Dirichlet problem of \(k\)-Hessian equations

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