Solution to the boundary blowup problem for \(k\)-curvature equation

DOI10.1007/s00526-006-0011-7zbMath1105.35039OpenAlexW1976907157WikidataQ115387741 ScholiaQ115387741MaRDI QIDQ2493992

Kazuhiro Takimoto

Publication date: 16 June 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0011-7

zbMATH Keywords

\(k\)-curvature equationsblow-up problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (19)

Exact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equation ⋮ Asymptotic behaviour of Hessian equation with boundary blow up ⋮ Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior ⋮ Boundary blow-up solutions to singular \(k\)-Hessian equations with gradient terms: sufficient and necessary conditions and asymptotic behavior ⋮ Higher order estimate near the boundary of a large solution to semilinear Poisson equation with double-power like nonlinearity ⋮ A unified boundary behavior of large solutions to Hessian equations ⋮ Existence of solutions for prescribed variable exponent mean curvature system boundary value problems ⋮ On the prescribed variable exponent mean curvature impulsive system boundary value problems ⋮ On the Monge-Ampère equation with boundary blow-up: existence, uniqueness and asymptotics ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearity ⋮ Existence of solutions and nonnegative solutions for prescribed variable exponent mean curvature impulsive system initialized boundary value problems ⋮ Second order boundary estimate of boundary blowup solutions to \(k\)-Hessian equation ⋮ On a singular \(k\)-Hessian equation ⋮ Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights ⋮ On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights ⋮ Boundary behavior of large solutions to the Monge-Ampère equation in a borderline case ⋮ The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation ⋮ Boundary behavior of large solutions to the Monge-Ampère equations with weights

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