Uniqueness and blow-up rate of large solutions for elliptic equation \(-\Delta u=\lambda u - b(x)h(u)\)

DOI10.1016/j.jde.2009.04.001zbMath1173.35064OpenAlexW2067927930MaRDI QIDQ1024998

Zhifu Xie

Publication date: 18 June 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.04.001

zbMATH Keywords

uniquenesselliptic equationsubsolutionsupersolutionblow-up rateslarge positive solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (8)

Asymptotic behavior of boundary blow-up solutions to elliptic equations ⋮ Asymptotic behavior of entire large solutions to semilinear elliptic equations ⋮ Uniqueness of large positive solutions ⋮ General uniqueness results for large solutions ⋮ Large solution to nonlinear elliptic equation with nonlinear gradient terms ⋮ Blow-up rate and uniqueness of singular radial solutions for a class of quasi-linear elliptic equations ⋮ Uniqueness of large solutions for non-monotone nonlinearities ⋮ Blow-up rates of large solutions for elliptic equations

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