The exact blow-up rates of large solutions for semilinear elliptic equations

DOI10.1016/J.NA.2010.06.069zbMath1200.35134OpenAlexW2045985277MaRDI QIDQ708689

Shengzhi Zhang, Qiaoyu Tian, Jinhua Xi, Shuibo Huang, Zheng-En Fan

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.069

zbMATH Keywords

singular elliptic equationlocalization methodboundary blow-up rate

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (7)

Asymptotic behavior of boundary blow-up solutions to elliptic equations ⋮ Pointwise boundary behavior of large solutions to \(\infty\)-Laplacian equations ⋮ Uniqueness of large positive solutions ⋮ The first and second expansion of large solutions for quasilinear elliptic equations with weight functions ⋮ The exact asymptotic behavior of boundary blow-up solutions to infinity Laplacian equations ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates

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