Uniqueness of boundary blowup solutions to \(k\)-curvature equation
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Publication:1933612
DOI10.1016/j.jmaa.2012.10.021zbMath1259.35046OpenAlexW2032023462MaRDI QIDQ1933612
Kazuhiro Takimoto, Saori Nakamori
Publication date: 24 January 2013
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.10.021
Boundary value problems for second-order elliptic equations (35J25) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Exact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equation ⋮ Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary 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 ⋮ Second order boundary estimate of boundary blowup solutions to \(k\)-Hessian equation ⋮ Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equation
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