The exact boundary blow-up rate of large solutions for semilinear elliptic problems

DOI10.1016/J.NA.2007.02.026zbMath1138.35025OpenAlexW2062145924MaRDI QIDQ2482488

Zhifu Xie, Tiancheng Ouyang

Publication date: 17 April 2008

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.2007.02.026

zbMATH Keywords

uniquenessblow-up ratesemilinear elliptic equationlarge positive solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (12)

Coupled versus uncoupled blow-up rates in cooperative \(n\)-species logistic systems ⋮ Boundary blow-up rate and uniqueness of the large solution for an elliptic cooperative system of logistic type ⋮ Uniqueness of large positive solutions ⋮ General uniqueness results for large solutions ⋮ Uniqueness of large positive solutions for a class of radially symmetric cooperative systems ⋮ Boundary blow-up solutions of \(p\)-Laplacian elliptic equations with lower order terms ⋮ Blow-up rate and uniqueness of singular radial solutions for a class of quasi-linear elliptic equations ⋮ The blow-up rate and uniqueness of large solution for a porous media logistic equation ⋮ Uniqueness results and asymptotic behavior of solutions with boundary blow-up for logistic-type porous media equations ⋮ Large solutions with a power nonlinearity given by a variable exponent for \(p\)-Laplacian equations ⋮ Blow-up rates of radially symmetric large solutions ⋮ Uniqueness and blow-up rate of large solutions for elliptic equation \(-\Delta u=\lambda u - b(x)h(u)\)

Cites Work

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