The asymptotic behaviour of solutions with blow-up at the boundary for semilinear elliptic problems

DOI10.1016/j.jmaa.2004.11.029zbMath1160.35417OpenAlexW2068756422MaRDI QIDQ2484172

Zhijun Zhang

Publication date: 1 August 2005

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.2004.11.029

zbMATH Keywords

UniquenessSemilinear elliptic equationsLarge solutionsPrecise asymptotic behaviour

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60)

Related Items (15)

Asymptotic behavior of entire large solutions to semilinear elliptic equations ⋮ Boundary blow-up elliptic problems with nonlinear gradient terms ⋮ Boundary asymptotic and uniqueness of solutions to the \(p\)-Laplacian with infinite boundary values ⋮ Large solutions for a semilinear elliptic problem with sign-changing weights ⋮ Boundary blow-up elliptic problems of Bieberbach and Rademacher type with nonlinear gradient terms ⋮ Large solutions for a nonhomogeneous quasilinear elliptic problem ⋮ The first and second expansion of large solutions for quasilinear elliptic equations with weight functions ⋮ Asymptotic estimates of boundary blow-up solutions to the infinity Laplace equations ⋮ Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions ⋮ A boundary blow-up elliptic problem with an inhomogeneous term ⋮ Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms ⋮ The asymptotic behaviour of solutions with boundary blow-up for semilinear elliptic equations with nonlinear gradient terms ⋮ Boundary asymptotic behavior and uniqueness of large solutions to quasilinear elliptic equations ⋮ Uniqueness of positive solutions for a boundary blow-up problem ⋮ The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation

Cites Work

• Unnamed Item
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• On the inequality \(\Delta u \geqq f (u)\)
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• Asymptotic behavior of solutions of boundary blow-up problems
• Semilinear elliptic equations with uniform blow-up on the boundary
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• On the existence of explosive solutions for semilinear elliptic problems
• Asymptotic estimates and convexity of large solutions to semilinear elliptic equations
• The boundary blow-up rate of large solutions.
• A remark on the existence of explosive solutions for a class of semilinear elliptic equations
• Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
• Asymptotics for the blow-up boundary solution of the logistic equation with absorption.
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations
• Regular variation and differential equations
• On solutions of δu=f(u)
• On a problem of Bieberbach and Rademacher
• Asymptotic behaviour of large solutions of an elliptic quasilinear equation in a borderline case
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness
• Regularly varying functions

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