The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation

DOI10.1016/J.NA.2005.08.010zbMath1161.35005OpenAlexW2114236073MaRDI QIDQ2492493

Tiancheng Ouyang, Zhifu Xie

Publication date: 9 June 2006

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.2005.08.010

zbMATH Keywords

Blow up rateLarge positive solutionsSemilinear elliptic solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

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 ⋮ Blow-up rate and uniqueness of singular radial solutions for a class of quasi-linear elliptic equations ⋮ Existence, uniqueness and blow-up rate of large solutions for a canonical class of one-dimensional problems on the half-line ⋮ The exact boundary blow-up rate of large solutions for semilinear elliptic problems ⋮ Existence and uniqueness of nonnegative solutions for a boundary blow-up problem ⋮ Blow-up rates of radially symmetric large solutions ⋮ Uniqueness and blow-up rate of large solutions for elliptic equation \(-\Delta u=\lambda u - b(x)h(u)\) ⋮ Blow-up solutions for a \(p\)-Laplacian elliptic equation of logistic type with singular nonlinearity

Cites Work

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• Pointwise growth and uniqueness of positive solutions for a class of sublinear elliptic problems where bifurcation from infinity occurs
• Asymptotic behavior of solutions of boundary blow-up problems
• On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems.
• Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
• Remarks on sublinear elliptic equations
• On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
• On a problem of Bieberbach and Rademacher
• Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations

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