Boundary blow-up quasilinear elliptic problems with nonlinear gradient terms

DOI10.1080/17476933.2010.534143zbMath1253.35045OpenAlexW2099409153MaRDI QIDQ2892048

Chunlian Liu, Zuodong Yang

Publication date: 18 June 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.534143

zbMATH Keywords

quasilinear elliptic equationasymptotic behaviourexplosive solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Quasilinear elliptic equations (35J62)

Related Items (1)

Existence and blow-up rate of large solutions of \(p(x)\)-Laplacian equations with gradient terms

Cites Work

• Unnamed Item
• Boundary blow-up elliptic problems with nonlinear gradient terms
• Boundary blow-up elliptic problems of Bieberbach and Rademacher type with nonlinear gradient terms
• Existence of blowup solutions for nonlinear problems with a gradient term
• Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• Classical and weak solutions of a singular semilinear elliptic problem
• Nonlinear elliptic equations with singular boundary conditions
• Boundary blow-up solutions and their applications in quasilinear elliptic equations
• The boundary blow-up rate of large solutions.
• Existence of entire explosive positive solutions of quasi-linear elliptic equations.
• Nonradial blow-up solutions of sublinear elliptic equations with gradient term
• Uniqueness and boundary behavior of large solutions to elliptic problems with singular weights
• Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
• Explosive solutions of elliptic equations with absorption and non-linear gradient term
• Asymptotics for the blow-up boundary solution of the logistic equation with absorption.
• Extremal singular solutions for degenerate logistic-type equations in anisotropic media
• Uniqueness and layer analysis for boundary blow up solutions
• A necessary and sufficient condition for existence of large solutions to semilinear elliptic equations
• Large solutions of semilinear elliptic equations with nonlinear gradient terms
• The asymptotic behaviour of solutions with boundary blow-up for semilinear elliptic equations with nonlinear gradient terms
• Multiple periodic solutions for a discrete time model of plankton allelopathy
• Existence of explosive positive solutions of quasilinear elliptic equations
• On solutions of δu=f(u)
• Boundary regularity for solutions of degenerate elliptic equations
• Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On a problem of Bieberbach and Rademacher
• Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large
• On an elliptic problem with boundary blow-up and a singular weight: the radial case
• Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness

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