Existence of large solutions for a quasilinear elliptic problem via explosive sub-supersolutions

DOI10.1016/j.amc.2007.10.009zbMath1141.35025OpenAlexW2164834361MaRDI QIDQ928059

Chunlian Liu, Zuodong Yang

Publication date: 11 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.10.009

zbMATH Keywords

quasilinear elliptic equationlarge solutionsexplosive sub-supersolutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for higher-order elliptic equations (35J35)

Related Items

Boundary blow-up quasilinear elliptic problems with nonlinear gradient terms ⋮ Existence and boundary behavior of solutions for boundary blow-up quasilinear elliptic problems with gradient terms ⋮ A boundary blow-up for a class of quasilinear elliptic problems with a gradient term ⋮ Existence of blow-up solutions of semilinear elliptic problems ⋮ On weak solutions of nonlinear weighted \(p\)-Laplacian elliptic inequalities ⋮ Existence and non-existence of blow-up solutions for a non-autonomous problem with indefinite and gradient terms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the inequality \(\Delta u \geqq f (u)\)
• Positive solutions of a nonlinear boundary-value problem of parabolic type
• 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
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• Nonlinear elliptic equations with singular boundary conditions
• Asymptotic estimates and convexity of large solutions to semilinear elliptic equations
• The boundary blow-up rate of large solutions.
• Existence of entire explosive positive solutions of quasi-linear elliptic equations.
• Asymptotic behaviour of large solutions of quasilinear elliptic problems
• 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.
• 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.
• Local gradient estimates and existence of blow-up solutions to a class of quasilinear elliptic equations.
• Uniqueness and layer analysis for boundary blow up solutions
• 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
• Existence of positive boundary blow-up solutions for quasilinear elliptic equations via sub and supersolutions
• The asymptotic behaviour of solutions with blow-up at the boundary for semilinear elliptic problems
• Existence of explosive positive solutions of quasilinear elliptic equations
• Linear and quasilinear elliptic equations
• Slowly varying functions and asymptotic relations
• Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
• EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS
• On solutions of δu=f(u)
• On The Dirichletproblem for Quasilinear Equations
• 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
• On an elliptic problem with boundary blow-up and a singular weight: the radial case
• Asymptotic behaviour of large solutions of an elliptic quasilinear equation in a borderline case
• Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
• Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations
• Explosive solutions of quasilinear elliptic equations: existence and uniqueness
• General uniqueness results and variation speed for blow-up solutions of elliptic equations